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At Jefferson Middle School, 12% of the students play volleyball and 5% of the students play volleyball and basketball. What is the probability that a student plays basketball given that he or she plays volleyball? A. 41.7% B. 24% C. 0.6% D. 6%

Verified Answer :

The right answer will be A. 41.7% -APEX :)

JeanaShupp

Answer: A. 41.7%

Step-by-step explanation:

Let V denote the event of students play volley ball and B denote the event students play Basketball.

Given : The probability of students  play volleyball P(V)= 12% = 0.12

The probability of students play volleyball and basketball P(V∩B)= 5% = 0.05

Now, the probability that a student plays basketball given that he or she plays volleyball is given by :-

\(\text{P(BlV)}=\frac{P(V\cap B)}{P(V)}\\\\=\frac{0.05}{0.12}=0.416666666667\approx0.417\)

In percent,

\(\text{P(B l V)}=0.417\times100=41.7\%\)

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