CBSE Class 12 · Mathematics

Probability

8 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 8 questions

If $A$ and $B$ are independent events with $P (A) = 3/4$ and $P (B) = 2/3$ , find $P (A \cap B)$ .
If $A$ and $B$ are independent events with $P (A) = 2/5$ and $P (B) = 1/2$ , find $P (A \cap B)$ .
If $A$ and $B$ are independent events with $P (A) = 1/3$ and $P (B) = 1/4$ , find $P (A \cap B)$ .
An urn contains 5 red and 2 black balls. Two balls are drawn at random with replacement. Let X be the number of black balls drawn. What is the variance of X?
If P(A) = 3/8, P(B) = 1/2, and P(A ∩ B) = 1/4, what is the value of P(A' / B')?
Two cards are drawn successively without replacement from a pack of 52 cards. What is the probability that both are aces?
A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other in narrating the same incident?
A die is thrown 6 times. If getting an odd number is considered a success, what is the probability of getting at least 5 successes?

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