Practice Probability Practice Questions with Detailed Solutions – Level 2

Four unbiased coins are tossed together. What is the probability of getting exactly two heads?

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

Two dice are rolled simultaneously. What is the probability that the product of the numbers obtained is even?

One card is drawn at random from a well-shuffled pack of 52 playing cards. What is the probability that it is either a face card or a spade?

Two cards are drawn one after the other without replacement from a pack of 52 playing cards. What is the probability that both cards are kings?

A bag contains 5 red and 3 green balls. A ball is drawn, its colour is noted and it is put back. A second ball is then drawn. What is the probability that the two balls are of different colours?

A bag contains 4 white and 6 black balls. Three balls are drawn at random without replacement. What is the probability that at least one of them is white?

Cards numbered 1 to 50 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 5?

A leap year is selected at random. What is the probability that it contains 53 Fridays or 53 Saturdays?

The probabilities that Ravi, Meena and Arjun can solve a problem are \(\dfrac{1}{3},\) \(\dfrac{1}{4}\) and \(\dfrac{1}{5}\) respectively. If all three try it independently, what is the probability that the problem is solved?