Question

In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice

Answer 1

The probability that a contestant who plays the game five times wins exactly twice is
`16.08` %

Explanation:

We will use binomial theorem here

`C_(n,k)p^k(p')^(n-k)`

Substituting the available values in above equation, we get

`C_(5,2) * (1)/(6)^2*(5)/(6)^3`

`0.1608`

OR

The probability that a contestant who plays the game five times wins exactly twice is
`16.08` %