Two boys and three girls are auditioning to play the piano for a school production. two students will be chosen, one as the pianist, the other as the alternate. what is the probability that the pianist will be a boy and the alternate will be a girl? express your answer as a percent.

The probability that he pianist will be a boy and the alternate will be a girl is 30%.

Explanation:

Since we have given that

Number of boys are auditioning to play the piano for a school production = 2

Number of girls are auditioning to play the piano for a school production = 3

Total number of candidates is given by

Now,

Let Event A denotes pianist will be a boy.

Let Event B denotes alternate will be girl.

Since Event A and B are independent events so,

So,

Probability that the pianist will be a boy and the alternate will be a girl is given by

Now, we have to change it into percent ,

Hence ,the probability that he pianist will be a boy and the alternate will be a girl is 30%.