Question

At a high school, the probability that a student is a senior is 0.20. The probability that a student plays a sport is 0.15. The probability that a student
IS a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
A. 0.33
B. 0.05
C. 0.25
D. 0.15

Answer 1

Answer:

Choice C

Step-by-step explanation:

Conditional Probability formula

P(B | A) = $\frac{P(A and B)}{P(A)}$

P(B | A) = Probability of event B, given probability of event A

P( A and B) = Probability of event A and event B = 0.05

P(A) = Probability of event A = 0.20

P(B | A) = $\frac{0.05}{0.20}$

P(B | A) = $\frac{1}{4}$ = 0.25