Question

Suppose there is a game where there are 5 identical boxes to choose from. One of these boxes has a

prize. Each time the game is played, the prize is randomly placed in one of the 5 boxes. If someone
were to play this game 4 times in a row, what is the probability this person will win the prize exactly 2
times?

Answer 1

0.1536

Explanation:

This is a binomial probability distribution with 2 successes in 4 trials.

The chance of a success is 1/5 = 0.2.

So there needs to be 2 successes and 2 failures in the 4 plays.

Reqd. Probability is 4C2*(0.2)^2(0.8)^2

= 0.1536.