Probability questions
692 published questions with worked solutions.
- A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability that both of these are of...
- If a random variable (x) follows binomial distribution with mean 5 and variance 4, and 5^ 23 P(X=3)= 4^ , then what is the value...
- If two random variables X and Y are connected by relation 2X-3Y 5X+4Y =4 and X follows Binomial distribution with parameters n=10...
- If the letters of the word "TIRUPATI" are written down at random, then what is the probability that both Ts are always...
- Let m=77^n. The index n is given a positive integral value at random. What is the probability that the value of m will have 1 in...
- Three different numbers are selected at random from the first 15 natural numbers. What is the probability that the product of two...
- Three distinct natural numbers are chosen at random from 1 to 10. What is the probability that they are consecutive?
- A, B, C are three mutually exclusive and exhaustive events associated with a random experiment. If 3P(B)=4P(A) and 3P(C)=2P(B),...
- A die has two faces with number 4, three faces with number 5 and one face with number 6. If the die is rolled once, then what is...
- A box contains 2 black, 4 yellow and 6 white balls. Three balls are drawn in succession with replacement. What is the probability...
- A can hit a target 5 times in 6 shots, B can hit 4 times in 5 shots and C can hit 3 times in 4 shots. What is the probability...
- The letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur...
- Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to...
- For two events A and B, P(A)=P(A|B)=0 25 and P(B|A)=0 5. Which of the following are correct? I. A and B are independent. II....
- Two perfect dice are thrown. What is the probability that the sum of the numbers on the faces is neither 9 nor 10?
- The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability...
- Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces...
- In a binomial distribution, if the mean is 6 and the standard deviation is 2 , then what are the values of the parameters n and p...
- If P(A)=1/3, P(B)=1/2 and P(A B)=1/4, then what is the value of P(B|A^c)?
- If P(A)=1/3, P(B)=1/2 and P(A B)=1/4, then what is the value of P(A^c B^c)?
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