Probability questions
692 published questions with worked solutions.
- If two fair dice are tossed, then what is the probability that the sum of the numbers on the faces of the dice is strictly...
- The probability of a man hitting a target is 1/5. If the man fires 7 times, then what is the probability that he hits the target...
- Let X be a random variable following binomial distribution whose mean and variance are 200 and 160 respectively. What is the...
- In a sample survey of a village, the probability that a farmer is in debt is 0 60. What is the probability that three randomly...
- The probability that a family owns a laptop is 0 68; that it also owns a desktop is 0 56. If the probability that it owns both is...
- An urn contains 10 white and 5 red balls. If two balls are drawn at random, then what is the probability that both the balls are...
- An urn contains 5 white, 6 red and 4 blue balls. Three balls are drawn at random. What is the probability that a white ball, a...
- Under which of the following conditions may binomial distribution be used? I. The number of trials is infinite and not fixed. II....
- A person X speaks the truth 4 out of 5 times and person Y speaks the truth 5 out of 6 times. What is the probability that they...
- The probability that a student passes Physics test is 2/3 and the probability that he passes both Physics test and English test...
- An event X can happen with probability p and event Y can happen with probability q. Further, X and Y are independent events....
- Three faces of a die are black, two faces are white and one face is red. The die is tossed three times. What is the probability...
- In a throw of three dice, what is the probability of getting one prime number, one composite number and one number which is...
- An integer is chosen at random from the first 50 integers. What is the probability that the integer is neither divisible by 5 nor...
- Let X be a random variable following binomial distribution with parameters n=5 and p=k. Further, P(X=1)=0 4096 and P(X=2)=0 2048....
- If P(A)=0 3, P(B)=0 4 and P(A|B)=0 5, then what is the value of P(B|A)?
- If P(A)=1/3, P(B)=1/2 and P(A B)=1/4, then what is the value of P( A B)?
- In an entrance test there are multiple choice questions. There are four options for each question, of which only one is correct....
- For a Binomial distribution with mean 6 and standard deviation 2 , what is the value of P(X=0)?
- Three events A, B and C are such that A and B are disjoint, A and C are independent, B and C are independent. If 4P(A)=2P(B)=P(C)...
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