Probability questions
692 published questions with worked solutions.
- Three independent events, A_1, A_2 and A_3 occur with probabilities P(A_i)= 1 1+i , i=1, 2, 3. What is the probability that at...
- A coin is tossed three times. Consider the following events : A : No head appears B : Exactly one head appears C : At least two...
- In a series of 3 one-day cricket matches between teams A and B of a college, the probability of team A winning or drawing are 1/3...
- Let the random variable X follow B(6, p). If 16P(X=4)=P(X=2), then what is the value of p?
- A committee of two persons is constituted from two men and two women. What is the probability that the committee will have only...
- A question is given to three students A, B and C whose chances of solving it are 1 2 , 1 3 and 1 4 respectively. What is the...
- For two dependent events A and B, it is given that P(A)=0 2 and P(B)=0 5. If A B, then the values of conditional probabilities...
- A point is chosen at random inside a circle. What is the probability that the point is closer to the centre of the circle than to...
- A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace?
- Consider the following statements : 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence...
- If two fair dice are thrown, then what is the probability that the sum is neither 8 nor 9?
- Let A and B are two mutually exclusive events with P(A)= 1 3 and P(B)= 1 4 . What is the value of P( A B )?
- The mean and standard deviation of a binomial distribution are 12 and 2 respectively. What is the number of trials?
- A committee of two persons is selected from two men and two women. The probability that the committee will have exactly one woman...
- Let a die be loaded in such a way that even faces are twice likely to occur as the odd faces. What is the probability that a...
- Let the sample space consist of non-negative integers up to 50, X denote the numbers which are multiples of 3 and Y denote the...
- For two events A and B, let P(A)= 1 2 , P(A B)= 2 3 and P(A B)= 1 6 . What is P( A B) equal to?
- Let A and B be two events with P(A)= 1 3 , P(B)= 1 6 and P(A B)= 1 12 . What is P(B| A ) equal to?
- In a binomial distribution, the mean is 2 3 and the variance is 5 9 . What is the probability that X=2?
- The probability that a ship safely reaches a port is 1 3 . The probability that out of 5 ships, at least 4 ships would arrive...
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