Probability questions
692 published questions with worked solutions.
- What is the probability that at least two persons out of a group of three persons were born in the same month (disregard year)?
- If P(B)= 3 4 , P(A B C )= 1 3 and P( A B C )= 1 3 , then what is P(B C) equal to?
- In a multiple-choice test, an examinee either knows the correct answer with probability p, or guesses with probability 1-p. The...
- In a Binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 5 trials?
- Consider the following statements : 1. P( A B)=P( A )+P(B)-P( A B) 2. P(A B )=P(B)-P(A B) 3. P(A B)=P(B) ,P(A|B) Which of the...
- The probabilities that a student will solve Question A and Question B are 0 4 and 0 5 respectively. What is the probability that...
- Two fair dice are rolled. What is the probability of getting a sum of 7?
- If A and B are two events such that 2P(A)=3P(B), where 0<P(A)<P(B)<1, then which one of the following is correct?
- One bag contains 3 white and 2 black balls, another bag contains 5 white and 3 black balls. If a bag is chosen at random and a...
- Consider the following in respect of two events A and B : 1. P( A occurs but not B )=P(A)-P(B) if B A 2. P( A alone or B alone...
- A committee of three has to be chosen from a group of 4 men and 5 women. If the selection is made at random, what is the...
- If two dice are thrown and at least one of the dice shows 5, then the probability that the sum is 10 or more is
- Let A, B and C be three mutually exclusive and exhaustive events associated with a random experiment. If P(B)=1 5P(A) and P(C)=0...
- In a bolt factory, machines X, Y, Z manufacture bolts that are respectively 25%, 35% and 40% of the factory's total output. The...
- 8 coins are tossed simultaneously. The probability of getting at least 6 heads is
- Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from...
- If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is...
- Two integers x and y are chosen with replacement from the set 0, 1, 2, , 10 . The probability that |x-y|>5 is
- A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the...
- A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in...
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