Answer:
The probability that the pianist will be a boy and the alternate will be a girl is 0.3 or 30%.
Step-by-step explanation:
Consider the provided information.
Two boys and three girls are auditioning to play the piano for a school production.
Thus, the total number of students are: 2+3=5
Probability that the pianist will be a boy and the alternate will be a girl is:
[tex]\frac{2}{5}\times \frac{3}{4}=\frac{6}{20}=0.3[/tex]
Now we can convert it into percentage by multiplying 0.3 with 100.
0.3×100=30%.
Hence, the probability that the pianist will be a boy and the alternate will be a girl is 0.3 or 30%.
