Answer: 14%
Step-by-step explanation:
Complete question is provided in the attachment below:
Probability that members of the junior varsity swim team wear glasses = 55%=0.55
Given: P(wear glasses) = 0.55
P(not wear glasses) = 1-0.55 = 0.45
P(member in 10th grade | not wear glasses) = 30%
Using conditional probability formula:
[tex]P(B|A)=\dfrac{P(A\text{ and } B)}{P(A)}[/tex]
[tex]\Rightarrow\ 0.30=\dfrac{P(\text{not wear glasses and in 10th grade})}{0.45}\\\\\Rightarrow\ P(\text{not wear glasses and in 10th grade})=0.45\times0.30\\\\0.135=13.5\%\approx14\%[/tex]
Hence, the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade = 14%.
So, the correct option is "14%".
