JEE (Main) Mathematics - Probability: Multiple Choice Questions (MCQs)
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What is the probability of an event A occurring if P(A) = 0.4?
- a) 0.6
- b) 0.4
- c) 0.2
- d) 1
Answer: b) 0.4
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If two events A and B are mutually exclusive, then P(A ∪ B) is:
- a) P(A) + P(B)
- b) P(A) * P(B)
- c) P(A) - P(B)
- d) P(A) + P(B) - P(A ∩ B)
Answer: a) P(A) + P(B)
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The probability of two independent events A and B occurring is given by:
- a) P(A) * P(B)
- b) P(A) + P(B)
- c) P(A) - P(B)
- d) P(A) / P(B)
Answer: a) P(A) * P(B)
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Which of the following is true according to Bayes' theorem?
- a) P(A|B) = P(A ∩ B) / P(B)
- b) P(A|B) = P(B|A) * P(A) / P(B)
- c) P(A|B) = P(A) * P(B)
- d) P(A|B) = P(A ∩ B)
Answer: b) P(A|B) = P(B|A) * P(A) / P(B)
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If the probability of an event A is 0.7 and the probability of event B is 0.5, the probability of A and B occurring together if the events are independent is:
- a) 0.35
- b) 0.5
- c) 0.7
- d) 1.2
Answer: a) 0.35
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The probability of drawing a red ball from a box containing 3 red, 2 green, and 5 blue balls is:
- a) 3/10
- b) 5/10
- c) 2/10
- d) 1/10
Answer: a) 3/10
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If the probability of an event A occurring is P(A) = 0.4, then the probability of the complement of A is:
- a) 0.6
- b) 0.5
- c) 0.4
- d) 1
Answer: a) 0.6
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In a dice roll, what is the probability of getting a number greater than 4?
- a) 1/2
- b) 1/3
- c) 1/6
- d) 2/6
Answer: a) 1/3
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If a coin is tossed twice, what is the probability of getting two heads?
- a) 1/4
- b) 1/2
- c) 1/3
- d) 1
Answer: a) 1/4
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What is the probability of getting at least one tail when a fair coin is tossed three times?
- a) 7/8
- b) 3/4
- c) 1/2
- d) 1/8
Answer: a) 7/8
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What is the probability of selecting a number divisible by 3 from the numbers 1 to 10?
- a) 3/10
- b) 2/10
- c) 5/10
- d) 4/10
Answer: a) 3/10
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If the probability of an event occurring is 0.75, what is the probability of the event not occurring?
- a) 0.25
- b) 0.75
- c) 1
- d) 0
Answer: a) 0.25
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In a class of 30 students, 18 students passed an exam. What is the probability that a randomly selected student passed?
- a) 18/30
- b) 30/18
- c) 1/2
- d) 5/6
Answer: a) 18/30
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If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability of either event A or B occurring if the events are mutually exclusive?
- a) 0.8
- b) 0.15
- c) 0.5
- d) 0.3
Answer: a) 0.8
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