fifty - five percent of the members of the junior varsity swim team wear glasses. of the team members who do…

fifty - five percent of the members of the junior varsity swim team wear glasses. of the team members who do not wear glasses, 30 percent of them are in the 10th grade. to the nearest whole percent, what is the probability that a randomly chosen member of the jv swim team does not wear glasses and is in the 10th grade?\no 14%\no 17%\no 55%\no 67%
Answer
Answer:
A. 14%
Explanation:
Step1: Find the percentage of non - glass - wearers
If 55% of the team members wear glasses, then the percentage of team members who do not wear glasses is $100%-55% = 45%$.
Step2: Calculate the desired probability
We know that 30% of the non - glass - wearers are in the 10th grade. So the probability that a randomly chosen member does not wear glasses and is in the 10th grade is $0.45\times0.30= 0.135$.
Step3: Convert to percentage and round
Converting 0.135 to a percentage gives 13.5%. Rounding 13.5% to the nearest whole percent gives 14%.