Probability

A committee of 3 is to be formed from 5 men and 2 women. What is the probability that the committee contains at least one woman?

If P(A) = 0.4, P(B) = 0.5 and P(A intersection B) = 0.2, find P(A' intersection B').

Five cards are drawn from a pack of 52. What is the probability that all are of the same suit?

What is the probability that a number selected from 1 to 100 is divisible by 4 and 6?

Two people A and B throw a die. A wins if he throws a 6. If A starts, what is the probability that A wins on his first throw?

In a single throw of two dice, what is the probability of getting a total of more than 10?

A card is drawn from a pack of 52. What is the probability it is a diamond or an ace?

What is the probability of getting no heads in 4 tosses of a fair coin?

In a class of 30, 10 students like tea, 15 like coffee and 5 like both. What is the probability that a student chosen at random likes neither?

A bag contains 6 red, 4 white and 8 blue balls. If 3 balls are drawn at random, what is the probability they are all blue?

What is the probability of picking a non-vowel from the word 'MATHEMATICS'?

A card is drawn at random from 1 to 25. What is the probability that the number is a multiple of 2 or 3?

If P(A) = 0.5, P(B) = 0.3, and events A and B are independent, find P(A and B).

If two dice are thrown, what is the probability that the sum is a multiple of 4?

Probability of an event E is 0.05. What is the probability of 'not E'?

A month is chosen at random from a year. What is the probability that it starts with the letter 'J'?

If three coins are tossed, what is the probability of getting at least 2 heads?

In a well-shuffled deck of 52 cards, what is the probability of getting a queen of hearts?

From a set of numbers 1 to 30, what is the probability of picking a number divisible by 7?

If the probability of rain is 20%, what is the probability of no rain?