Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers 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?

14%
17%
55%
67%

14%

Step-by-step explanation:

Step 1:

Let x be the total number of members in the junior varsity team

Given that Fifty-five percent of the members wear glasses, we have

the total number of members wearing glasses = 55% * x = 0.55 x

So

the total number of members not wearing glasses = x - 0.55 x = 0.45 x

Given that 30% of the members not wearing glasses are in 10th grade,

Number of members in 10th grade not wearing glasses = 0.45 x * 30% = 0.45 x * 0.3 = 0.135 x

Step 2 :

To find the probability that any chosen member at random does not wear glasses and is in the 10th grade

probability = no. of favorable outcomes / total no. of outcomes  

                 = 0.135 x / x = 0.135

This rounded off to percentage = 13.5% which is approximately  14%