Probability questions
692 published questions with worked solutions.
- Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number?
- If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the...
- There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of...
- Consider the following statements : 1. If A and B are mutually exclusive events, then it is possible that P(A)=P(B)=0 6. 2. If A...
- If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?
- If three dice are rolled under the condition that no two dice show the same face, then what is the probability that one of the...
- If P(A B)= 5 6 , P(A B)= 1 3 and P( not A)= 1 2 , then which one of the following is **not** correct?
- A husband and wife appear in an interview for two vacancies for the same post. The probability of the husband's selection is 1 7...
- A dealer has a stock of 15 gold coins out of which 6 are counterfeits. A person randomly picks 4 of the 15 gold coins. What is...
- A committee of 3 is to be formed from a group of 2 boys and 2 girls. What is the probability that the committee consists of 2...
- In a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. What is the probability that both the tickets...
- Consider a random variable X which follows Binomial distribution with parameters n=10 and p= 1 5 . Then Y=10-X follows Binomial...
- If A and B are two events such that P(A)=0 6, P(B)=0 5 and P(A B)=0 4, then consider the following statements : 1. P( A B)=0 9....
- Three cooks X, Y and Z bake a special kind of cake, and with respective probabilities 0 02, 0 03 and 0 05, it fails to rise. In...
- Two digits out of 1, 2, 3, 4, 5 are chosen at random and multiplied together. What is the probability that the last digit in the...
- What is the probability of getting a composite number in the list of natural numbers from 1 to 50?
- Two numbers x and y are chosen at random from a set of first 10 natural numbers. What is the probability that (x+y) is divisible...
- A number x is chosen at random from first n natural numbers. What is the probability that the number chosen satisfies x+ 1 x >2?
- Three fair dice are tossed once. What is the probability that they show different numbers that are in AP?
- If P(A)=0 5, P(B)=0 7 and P(A B)=0 3, then what is the value of P(A' B')+P(A' B)+P(A B')?
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