Practice Probability Practice Questions with Detailed Solutions – Level 3

An unbiased coin is tossed 6 times. What is the probability of getting at least 4 heads?

Two fair dice are thrown together. What is the probability that the sum of the numbers shown is a prime number?

Two fair dice are thrown. What is the probability that the product of the numbers obtained is a perfect square?

A fair die is rolled three times. What is the probability that a six appears at least once?

Two cards are drawn at random, without replacement, from a well-shuffled pack of 52 cards. What is the probability that both are kings or both are hearts?

One card is drawn at random from a well-shuffled pack of 52 playing cards. What is the probability that it is neither a heart nor a king?

A bag contains 5 red, 4 blue and 3 green balls. Three balls are drawn at random together. What is the probability that the three balls are all of different colours?

A bag contains 4 white and 6 black balls. Two balls are drawn one after the other, with the first ball replaced before the second draw. What is the probability that one ball is white and the other is black?

Cards numbered 1 to 100 are placed in a box, and one card is drawn at random. What is the probability that the number on the card is divisible by 3 or by 5, but not by both?

What is the probability that a leap year, selected at random, contains 53 Sundays or 53 Mondays?