Class 12 Math Ch-13 Probability MCQs Exam 2027 New

💁 Ankit Raj

📅 26/02/2026

Class 12 Math Ch-13 Probability MCQs Exam 2027

Class 12 Math Ch-13 Probability MCQs Exam 2027 Details: नीचे दिए गए सभी Questions Bihar Board परीक्षा 2027 के लिए “Very Very Important Multiple Choice Questions (MCQs) Objective” (अत्यंत महत्वपूर्ण प्रश्न) हैं। इन सभी Class 12th के (Mathematics/गणित) = गणित भाग-2 (English Medium) Book Chapter-13 Probability का Questions का Solve का वीडियो Youtube और Website पर Upload किया है।

Class 12 Math Ch-13 Probability MCQs Exam 2027

Section-B: Probability (English Medium)

  1. If $A$ and $B$ are two independent events, then the value of $P(A \cap B’)$ is:

    (A) $P(A) \cdot P(B’)$

    (B) $P(A) \cdot P(B)$

    (C) $P(A’) \cdot P(B)$

    (D) $P(A’) \cdot P(B’)$

  2. If $P(A) = 1/2$ and $P(B) = 0$, then $P(A/B)$ is:

    (A) 0

    (B) 1/2

    (C) Not defined

    (D) 1

  3. The probability of getting a ‘Doublet’ in a throw of two dice is:

    (A) 1/6

    (B) 5/6

    (C) 1/12

    (D) 2/3

  4. If $A$ and $B$ are independent events, then $P(A \cap B) = $:

    (A) $P(A) \cdot P(B)$

    (B) $P(A) + P(B)$

    (C) $P(A/B)$

    (D) $P(B/A)$

  5. A card is drawn from a pack of 52 cards. The probability of it being an Ace is:

    (A) 1/13

    (B) 1/4

    (C) 1/52

    (D) 4/13

  6. The value of $P(A) + P(A’)$ is:

    (A) 0

    (B) 1

    (C) -1

    (D) $P(S)$

  7. If $P(A) = 3/8, P(B) = 1/2$ and $P(A \cap B) = 1/4$, then $P(A \cup B)$ is:

    (A) 1/8

    (B) 5/8

    (C) 3/4

    (D) 1/2

  8. A coin is tossed 3 times. The probability of getting at least two heads is:

    (A) 1/4

    (B) 1/2

    (C) 3/8

    (D) 1/8

  9. If $P(E) = 0.05$, then the probability of ‘not E’ ($E’$) is:

    (A) 0.95

    (B) 0.05

    (C) 1.05

    (D) 0

  10. The probability of getting an even number in a throw of a die is:

    (A) 1/2

    (B) 1/3

    (C) 1/6

    (D) 2/3

  11. For independent events $A$ and $B$, $P(A \cup B)$ is equal to:

    (A) $1 – P(A’)P(B’)$

    (B) $P(A) + P(B)$

    (C) $P(A) \cdot P(B)$

    (D) $P(A) – P(B)$

  12. If $P(A) = 0.4, P(B) = 0.8$ and $P(B/A) = 0.6$, then $P(A/B)$ is:

    (A) 0.3

    (B) 0.4

    (C) 0.5

    (D) 0.6

  13. The probability of drawing a ‘Spade’ from a deck of cards is:

    (A) 1/4

    (B) 1/13

    (C) 1/52

    (D) 3/4

  14. The probability of an impossible event is:

    (A) 1

    (B) 0

    (C) 0.5

    (D) $\infty$

  15. If $P(A) = 2/7, P(B) = 4/7$, and $A, B$ are mutually exclusive, then $P(A \cup B)$ is:

    (A) 6/7

    (B) 2/7

    (C) 1/7

    (D) 8/49

  16. The probability of getting a number greater than 4 in a throw of a die is:

    (A) 1/2

    (B) 1/3

    (C) 2/3

    (D) 1/6

  17. $P(A/B) + P(A’/B)$ is equal to:

    (A) 0

    (B) 1

    (C) -1

    (D) 2

  18. If $P(A) = 6/11, P(B) = 5/11$ and $P(A \cup B) = 7/11$, then $P(A \cap B)$ is:

    (A) 4/11

    (B) 5/11

    (C) 2/11

    (D) 1

  19. The probability that the sum of numbers on two dice is 7 is:

    (A) 1/6

    (B) 5/36

    (C) 1/12

    (D) 1/36

  20. The probability of drawing a ‘Red King’ from a deck of 52 cards is:

    (A) 1/13

    (B) 1/26

    (C) 1/52

    (D) 2/13

  21. If $A$ and $B$ are independent, then $P(A/B)$ is equal to:

    (A) $P(A)$

    (B) $P(B)$

    (C) $P(A \cap B)$

    (D) 1

  22. A coin is tossed 10 times. The probability of getting exactly 6 heads is:

    (A) ${}^{10}C_6 (1/2)^{10}$

    (B) ${}^{10}C_6 (1/2)^6$

    (C) $1/2^{10}$

    (D) ${}^{10}C_6$

  23. If the probability of an event is 3/7, the odds against it are:

    (A) 4:3

    (B) 3:4

    (C) 7:3

    (D) 4:7

  24. If $P(A \cap B) = 1/4$ and $P(A) = 1/3$, then $P(B/A)$ is:

    (A) 3/4

    (B) 1/4

    (C) 1/12

    (D) 4/3

  25. The probability of getting a prime number in a throw of a die is:

    (A) 1/2

    (B) 1/3

    (C) 2/3

    (D) 1/6

  26. If $A, B, C$ are independent events, then $P(A \cap B \cap C) = $:

    (A) $P(A) \cdot P(B) \cdot P(C)$

    (B) $P(A) + P(B) + P(C)$

    (C) $P(A \cup B \cup C)$

    (D) 0

  27. The probability of drawing a ‘Face Card’ from a deck of cards is:

    (A) 3/13

    (B) 1/13

    (C) 4/13

    (D) 1/4

  28. If $P(A) = 0.8, P(B) = 0.5$ and $P(B/A) = 0.4$, then $P(A \cap B)$ is:

    (A) 0.32

    (B) 0.20

    (C) 0.40

    (D) 0.50

  29. If $\phi$ is an empty event, then $P(\phi) = $:

    (A) 0

    (B) 1

    (C) 0.5

    (D) Not defined

  30. In two throws of a die, the probability that 5 appears at least once is:

    (A) 11/36

    (B) 1/6

    (C) 1/36

    (D) 25/36

  31. If $P(E) = 0.6, P(F) = 0.3$ and $P(E \cap F) = 0.2$, then $P(E/F)$ is:

    (A) 2/3

    (B) 1/3

    (C) 1/2

    (D) 3/4

  32. In a Binomial Distribution, the mean is:

    (A) $np$

    (B) $npq$

    (C) $\sqrt{npq}$

    (D) $n$

  33. If $n=10$ and $p=1/2$, then the variance is:

    (A) 2.5

    (B) 5

    (C) 1.25

    (D) 10

  34. Two cards are drawn at random from 52 cards. The probability that both are Aces is:

    (A) 1/221

    (B) 1/13

    (C) 2/13

    (D) 4/663

  35. If $P(A \cup B) = P(A) + P(B)$, then $A$ and $B$ are:

    (A) Mutually exclusive

    (B) Independent

    (C) Dependent

    (D) None of these

  36. A coin is tossed 5 times. The probability of getting at least one head is:

    (A) 31/32

    (B) 1/32

    (C) 1/2

    (D) 1/5

  37. $P(A/B) \cdot P(B) = $:

    (A) $P(A \cap B)$

    (B) $P(A \cup B)$

    (C) $P(A)$

    (D) $P(B)$

  38. The probability of having 53 Fridays in a leap year is:

    (A) 2/7

    (B) 1/7

    (C) 53/366

    (D) 1/366

  39. If $A$ and $B$ are independent events, then $P(A’ \cap B’) = $:

    (A) $P(A’) \cdot P(B’)$

    (B) $1 – P(A)P(B)$

    (C) $P(A) + P(B)$

    (D) 0

  40. The probability of getting a multiple of 2 in a throw of a die is:

    (A) 1/2

    (B) 1/3

    (C) 1/6

    (D) 2/3

  41. The number of ‘Diamond’ cards in a deck is:

    (A) 13

    (B) 26

    (C) 4

    (D) 1

  42. If the odds in favor are 3:2, the probability of the event is:

    (A) 3/5

    (B) 2/5

    (C) 3/2

    (D) 2/3

  43. The probability of drawing a ‘Jack’ from a deck of 52 cards is:

    (A) 1/13

    (B) 4/13

    (C) 1/52

    (D) 1/4

  44. $P(A \cap B’) = P(A) – \_\_\_\_$:

    (A) $P(A \cap B)$

    (B) $P(B)$

    (C) $P(A \cup B)$

    (D) $P(A’)$

  45. A coin is tossed 4 times. The total number of possible outcomes is:

    (A) 16

    (B) 8

    (C) 4

    (D) 32

  46. If $P(A) = 0.3, P(B) = 0.4$ and $A, B$ are independent, then $P(A \cup B)$ is:

    (A) 0.58

    (B) 0.70

    (C) 0.12

    (D) 0.82

  47. The sum of probabilities of all elementary events of an experiment is:

    (A) 1

    (B) 0

    (C) 0.5

    (D) Infinity

  48. A bag contains 4 red and 6 black balls. The probability of drawing a red ball is:

    (A) 2/5

    (B) 3/5

    (C) 4/6

    (D) 1/10

  49. If $A \subset B$, then $P(A \cap B) = $:

    (A) $P(A)$

    (B) $P(B)$

    (C) 1

    (D) 0

  50. The probability of drawing a ‘Black Face Card’ from a deck of cards is:

    (A) 6/52

    (B) 12/52

    (C) 3/52

    (D) 2/13

  51. The probability of getting an odd prime number in a throw of a die is:

    (A) 1/3

    (B) 1/2

    (C) 1/6

    (D) 2/3

  52. If $P(A) = 0.5, P(B) = 0.6$ and $P(A \cup B) = 0.8$, then $P(A \cap B)$ is:

    (A) 0.3

    (B) 0.1

    (C) 1.1

    (D) 0.2

  53. For independent events $A$ and $B$, $P(A \cap B’) = $:

    (A) $P(A) – P(A \cap B)$

    (B) $P(A) \cdot P(B’)$

    (C) Both (A) and (B)

    (D) $P(A) + P(B)$

  54. In a family of 2 children, the probability of at least one boy is:

    (A) 3/4

    (B) 1/4

    (C) 1/2

    (D) 2/3

  55. If $P(A) = 1/3, P(B) = 1/4$ and $A, B$ are mutually exclusive, then $P(A \cup B)$ is:

    (A) 7/12

    (B) 1/12

    (C) 1/3

    (D) 1/4

  56. The number of ‘Aces of Spades’ in a deck is:

    (A) 1

    (B) 4

    (C) 13

    (D) 2

  57. The probability of getting 6 heads in 6 tosses of a coin is:

    (A) 1/64

    (B) 1/32

    (C) 1/6

    (D) 6/64

  58. $P(B/A) + P(B’/A) = $:

    (A) 1

    (B) 0

    (C) $P(B)$

    (D) $P(A)$

  59. The probability of getting a sum of 12 with two dice is:

    (A) 1/36

    (B) 1/6

    (C) 0

    (D) 1/12

  60. If $P(A) = 0.7$, then $P(A’)$ is:

    (A) 0.3

    (B) 0.7

    (C) 1.7

    (D) 0

  61. The multiplication rule for independent events is:

    (A) $P(A \cap B) = P(A) \cdot P(B)$

    (B) $P(A \cup B) = P(A) + P(B)$

    (C) $P(A/B) = P(A)$

    (D) Both (A) and (C)

  62. Probability of drawing a ‘Red or Black’ card from a deck is:

    (A) 1

    (B) 1/2

    (C) 0

    (D) 1/4

  63. Probability of getting number 7 on a throw of a die is:

    (A) 0

    (B) 1/6

    (C) 1

    (D) 7/6

  64. If $P(A) = 2/3, P(B) = 1/2$ and $P(A \cap B) = 1/6$, then $P(A \cup B)$ is:

    (A) 1

    (B) 5/6

    (C) 7/6

    (D) 2/3

  65. The formula for $r$ successes in $n$ independent trials is:

    (A) ${}^nC_r p^r q^{n-r}$

    (B) ${}^nC_r p^{n-r} q^r$

    (C) $p^r q^{n-r}$

    (D) ${}^nC_r (pq)^n$

  66. A bag has 3 white and 2 black balls. Drawing two balls, the probability both are white is:

    (A) 3/10

    (B) 9/25

    (C) 1/10

    (D) 2/5

  67. Total number of ‘Face Cards’ in a deck of 52 cards is:

    (A) 12

    (B) 16

    (C) 4

    (D) 52

  68. If $P(A/B) > P(A)$, then:

    (A) $P(B/A) > P(B)$

    (B) $P(B/A) < P(B)$

    (C) $P(B/A) = P(B)$

    (D) None of these

  69. Probability of getting a prime number on a die is:

    (A) 1/2

    (B) 1/3

    (C) 2/3

    (D) 1/6

  70. $P(A \cup B) = P(A) + P(B) – \_\_\_\_$:

    (A) $P(A \cap B)$

    (B) $P(A/B)$

    (C) 1

    (D) 0

  71. If $A, B$ are independent and $P(A)=0.2, P(B)=0.5$, then $P(A \cap B)$ is:

    (A) 0.1

    (B) 0.7

    (C) 0.3

    (D) 0.4

  72. Probability of drawing a ‘Queen’ from a deck is:

    (A) 1/13

    (B) 1/4

    (C) 1/52

    (D) 4/13

  73. Probability of getting exactly 2 tails in 3 tosses of a coin is:

    (A) 3/8

    (B) 1/8

    (C) 1/2

    (D) 3/4

  74. If odds in favor are 5:3, the probability of the event NOT occurring is:

    (A) 3/8

    (B) 5/8

    (C) 3/5

    (D) 5/3

  75. If $P(A) = 0.4, P(B) = 0.5$, the maximum value of $P(A \cup B)$ can be:

    (A) 0.9

    (B) 0.5

    (C) 0.4

    (D) 1.0

  76. Probability of getting a 3 or 4 in a throw of a die is:

    (A) 1/3

    (B) 1/6

    (C) 1/2

    (D) 2/3

  77. The number of ‘Red Cards’ in a deck is:

    (A) 26

    (B) 13

    (C) 4

    (D) 52

  78. If $P(A \cap B) = 0.2, P(B) = 0.5$, then $P(A/B)$ is:

    (A) 0.4

    (B) 0.1

    (C) 0.7

    (D) 2.5

  79. Mean number of heads in two tosses of a coin is:

    (A) 1

    (B) 0.5

    (C) 1.5

    (D) 2

  80. If $\sum P(X) = 1$, the distribution is called:

    (A) Probability Distribution

    (B) Frequency Distribution

    (C) Cumulative Distribution

    (D) None of these

  81. Probability of drawing a ‘King of Spades’ is:

    (A) 1/52

    (B) 1/13

    (C) 4/52

    (D) 1/4

  82. If $P(E) = 1$, event $E$ is called:

    (A) Sure Event

    (B) Impossible Event

    (C) Independent Event

    (D) Dependent Event

  83. Probability of getting a number less than 6 on a die is:

    (A) 5/6

    (B) 1

    (C) 1/6

    (D) 0

  84. The number of ‘Clubs’ cards in a deck is:

    (A) 13

    (B) 26

    (C) 4

    (D) 1

  85. If $P(A)=0.6, P(B)=0.3$, and $A, B$ are independent, then $P(A \cap B’)$ is:

    (A) 0.42

    (B) 0.18

    (C) 0.7

    (D) 0.9

  86. Probability of getting at least one head in two tosses is:

    (A) 3/4

    (B) 1/4

    (C) 1/2

    (D) 1

  87. $P(A \cap B) = P(A) \cdot P(B/A)$ is called:

    (A) Multiplication Theorem

    (B) Addition Theorem

    (C) Bayes’ Theorem

    (D) Binomial Theorem

  88. Probability of not getting a 5 on a throw of a die is:

    (A) 5/6

    (B) 1/6

    (C) 1

    (D) 0

  89. Probability of drawing an ‘Ace of Hearts’ is:

    (A) 1/52

    (B) 1/13

    (C) 4/52

    (D) 1/4

  90. If $P(A) = 0$ and $P(B) = 0.5$, then $P(A/B)$ is:

    (A) 0

    (B) 0.5

    (C) Not defined

    (D) 1

  91. Bag has 5 black and 4 white balls. Probability of drawing a black ball is:

    (A) 5/9

    (B) 4/9

    (C) 1/9

    (D) 5/4

  92. Total number of ‘Suits’ in a deck of cards is:

    (A) 4

    (B) 2

    (C) 13

    (D) 52

  93. If $P(A) = 3/10, P(B) = 2/5$, and $A, B$ are mutually exclusive, then $P(A \cup B)$ is:

    (A) 7/10

    (B) 1/10

    (C) 6/50

    (D) 1/5

  94. Probability of getting a number between 2 and 5 on a die is:

    (A) 1/3

    (B) 1/2

    (C) 1/6

    (D) 2/3

  95. $P(S)$ where $S$ is the sample space is:

    (A) 1

    (B) 0

    (C) $n(S)$

    (D) $\infty$

  96. If $P(A) = 0.4$ and $P(B’) = 0.6$, then $A$ and $B$ are:

    (A) Complementary events

    (B) Independent events

    (C) Mutually exclusive

    (D) None of these

  97. Probability of drawing a ‘Red Face Card’ is:

    (A) 6/52

    (B) 12/52

    (C) 3/52

    (D) 1/4

  98. A coin is tossed 8 times. Probability of exactly 4 heads is:

    (A) ${}^8C_4 (1/2)^8$

    (B) ${}^8C_4 (1/2)^4$

    (C) $1/2^8$

    (D) ${}^8C_4$

  99. If $A, B$ are mutually exclusive, $P(A \cap B) = $:

    (A) 0

    (B) 1

    (C) $P(A)P(B)$

    (D) $P(A)+P(B)$

  100. Probability of getting a 1 on a die is:

    (A) 1/6

    (B) 1

    (C) 0

    (D) 5/6

  101. In $B(n, p)$, if mean of success is $np$, mean of failures is:

    (A) $nq$

    (B) $npq$

    (C) $n$

    (D) $q$

  102. Total number of ‘Kings’ in a deck is:

    (A) 4

    (B) 2

    (C) 13

    (D) 1

  103. If $P(A) = 1/2, P(B) = 1/2$, the minimum value of $P(A \cup B)$ is:

    (A) 1/2

    (B) 0

    (C) 1

    (D) 1/4

  104. Bag has 2 red, 3 green, and 2 blue balls. Probability of green ball is:

    (A) 3/7

    (B) 2/7

    (C) 4/7

    (D) 1/3

  105. $P(A \cap B) = 0$ implies events are:

    (A) Mutually exclusive

    (B) Independent

    (C) Sure

    (D) Impossible

  106. Probability of getting a perfect square on a die is:

    (A) 1/3

    (B) 1/2

    (C) 1/6

    (D) 2/3

  107. If $P(A) = 0.5, P(B) = 0$, then $P(A/B)$ is:

    (A) Not defined

    (B) 0

    (C) 0.5

    (D) 1

  108. Number of ‘Black Kings’ in a deck is:

    (A) 2

    (B) 4

    (C) 1

    (D) 13

  109. If $A, B$ are independent, $P(A \cap B) – P(A)P(B) = $:

    (A) 0

    (B) 1

    (C) $P(A)$

    (D) $P(B)$

  110. Probability of at least one tail in 10 tosses is:

    (A) $1 – (1/2)^{10}$

    (B) $(1/2)^{10}$

    (C) 1/10

    (D) 1/2

  111. Probability of getting a 5 or 6 on a die is:

    (A) 1/3

    (B) 1/6

    (C) 1/2

    (D) 2/3

  112. If $P(A) = 0.6, P(B) = 0.3, P(A \cap B) = 0.2$, then $P(A \cup B)$ is:

    (A) 0.7

    (B) 0.9

    (C) 0.5

    (D) 1.1

  113. Number of ‘Red Queens’ in a deck is:

    (A) 2

    (B) 4

    (C) 1

    (D) 26

  114. $P(E) = n(E)/n(S)$ is applicable when events are:

    (A) Equally likely

    (B) Exclusive

    (C) Independent

    (D) Any

  115. Probability of 0 heads in 3 tosses of a coin is:

    (A) 1/8

    (B) 3/8

    (C) 1/2

    (D) 7/8

  116. If odds in favor are 1:1, the probability is:

    (A) 1/2

    (B) 1

    (C) 0

    (D) 2

  117. Probability of getting an even prime on a die is:

    (A) 1/6

    (B) 1/2

    (C) 1/3

    (D) 0

  118. Number of ‘Spades’ in a deck is:

    (A) 13

    (B) 26

    (C) 4

    (D) 1

  119. If $A, B, C$ are exclusive, $P(A \cup B \cup C) = $:

    (A) $P(A)+P(B)+P(C)$

    (B) $P(A)P(B)P(C)$

    (C) 1

    (D) 0

  120. Standard Deviation (S.D.) in Binomial Distribution is:

    (A) $\sqrt{npq}$

    (B) $npq$

    (C) $np$

    (D) $p/q$

  121. Probability of getting a multiple of 3 on a die is:

    (A) 1/3

    (B) 1/2

    (C) 1/6

    (D) 2/3

  122. Probability of drawing a ‘Red 10’ from a deck is:

    (A) 2/52

    (B) 4/52

    (C) 1/52

    (D) 1/13

  123. If $P(A) = 0.8, P(B) = 0.5$, minimum value of $P(A \cap B)$ is:

    (A) 0.3

    (B) 0

    (C) 0.5

    (D) 0.8

  124. Total outcomes for tossing a coin $n$ times:

    (A) $2^n$

    (B) $n^2$

    (C) $2n$

    (D) $n!$

  125. $P(E’) = 1 – P(E)$ is the:

    (A) Complementary rule

    (B) Addition rule

    (C) Independent rule

    (D) Bayes’ rule

  126. Probability of getting an even prime number on a die is:

    (A) 1/6

    (B) 1/2

    (C) 1/3

    (D) 0

  127. Number of ‘Black Jacks’ in a deck is:

    (A) 2

    (B) 4

    (C) 1

    (D) 13

  128. If $A, B$ are independent, $P(A)=0.3, P(B)=0.6$, then $P(A \cap B)$ is:

    (A) 0.18

    (B) 0.9

    (C) 0.3

    (D) 0.5

  129. $P(A/B) = P(A \cap B) / \_\_\_\_$:

    (A) $P(B)$

    (B) $P(A)$

    (C) 1

    (D) $P(B/A)$

  130. Probability of getting 2 or 6 on a die:

    (A) 1/3

    (B) 1/6

    (C) 1/2

    (D) 2/3

  131. Probability of drawing a ‘Red Ace’ is:

    (A) 2/52

    (B) 4/52

    (C) 1/52

    (D) 1/13

  132. If $P(E) = 0.75$, then $P(E’)$ is:

    (A) 0.25

    (B) 0.75

    (C) 1

    (D) 0

  133. Probability of 2 heads in 2 tosses:

    (A) 1/4

    (B) 1/2

    (C) 3/4

    (D) 1

  134. Maximum value of $P(A \cup B)$ is:

    (A) 1

    (B) 2

    (C) 0.5

    (D) $\infty$

  135. Probability of number greater than 1 on a die:

    (A) 5/6

    (B) 1/6

    (C) 1

    (D) 0

  136. Number of ‘Red Face Cards’ in a deck is:

    (A) 6

    (B) 12

    (C) 3

    (D) 4

  137. If $P(A) = 0.2, P(B) = 0.8$, and $A, B$ are independent, then $P(A \cup B)$ is:

    (A) 0.84

    (B) 1.0

    (C) 0.16

    (D) 0.6

  138. Bag has 6 white and 4 black balls. Probability of black is:

    (A) 2/5

    (B) 3/5

    (C) 4/6

    (D) 1/10

  139. $P(A) + P(B) – P(A \cup B) = $:

    (A) $P(A \cap B)$

    (B) 1

    (C) 0

    (D) $P(A/B)$

  140. Probability of number less than 4 on a die:

    (A) 1/2

    (B) 1/3

    (C) 2/3

    (D) 1/6

  141. Number of ’10 of Clubs’ in a deck:

    (A) 1

    (B) 4

    (C) 13

    (D) 52

  142. If $P(A \cap B) = P(A)P(B)$, then $A$ and $B$ are:

    (A) Independent

    (B) Exclusive

    (C) Dependent

    (D) Complementary

  143. Probability of 0 tails in 7 tosses of a coin:

    (A) 1/128

    (B) 1/64

    (C) 7/128

    (D) 1/2

  144. Probability of ‘Queen of Diamonds’ is:

    (A) 1/52

    (B) 4/52

    (C) 1/13

    (D) 1/4

  145. If $P(E) = 0.5$, the odds in favor are:

    (A) 1:1

    (B) 1:2

    (C) 2:1

    (D) 0:5

  146. Probability of getting 6 on a die:

    (A) 1/6

    (B) 1

    (C) 0

    (D) 5/6

  147. Number of ‘Hearts’ in a deck is:

    (A) 13

    (B) 26

    (C) 4

    (D) 1

  148. If $A, B$ are complementary, $P(A) + P(B) = $:

    (A) 1

    (B) 0

    (C) 0.5

    (D) $P(A \cup B)$

  149. Probability of getting both Head and Tail in ONE toss:

    (A) 0

    (B) 1

    (C) 1/2

    (D) 1/4

  150. The value of $P(A/B) + P(A’/B)$ is always:

    (A) 1

    (B) 0

    (C) -1

    (D) 2

Bihar Board Class 12th के (Mathematics/गणित) = गणित ‘भाग-2 (Englsih Medium) Book Chapter- 13 Probability के Exam 2027 MCQs Questions Answer Key

QuestionAnswerQuestionAnswerQuestionAnswerQuestionAnswer
1(A)39(A)77(A)115(A)
2(C)40(A)78(A)116(A)
3(A)41(A)79(A)117(A)
4(A)42(A)80(A)118(A)
5(A)43(A)81(A)119(A)
6(B)44(A)82(A)120(A)
7(B)45(A)83(A)121(A)
8(B)46(A)84(A)122(A)
9(A)47(A)85(A)123(A)
10(A)48(A)86(A)124(A)
11(A)49(A)87(A)125(A)
12(A)50(D)88(A)126(A)
13(A)51(A)89(A)127(A)
14(B)52(A)90(A)128(A)
15(A)53(C)91(A)129(A)
16(B)54(A)92(A)130(A)
17(B)55(A)93(A)131(A)
18(A)56(A)94(A)132(A)
19(A)57(A)95(A)133(A)
20(B)58(A)96(B)134(A)
21(A)59(A)97(A)135(A)
22(A)60(A)98(A)136(A)
23(A)61(D)99(A)137(A)
24(A)62(A)100(A)138(A)
25(A)63(A)101(A)139(A)
26(A)64(A)102(A)140(A)
27(A)65(A)103(A)141(A)
28(A)66(A)104(A)142(A)
29(A)67(A)105(A)143(A)
30(A)68(A)106(A)144(A)
31(A)69(A)107(A)145(A)
32(A)70(A)108(A)146(A)
33(A)71(A)109(A)147(A)
34(A)72(A)110(A)148(A)
35(A)73(A)111(A)149(A)
36(A)74(A)112(A)150(A)
37(A)75(A)113(A)
38(A)76(A)114(A)

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