Question

Of students taking a course through NCVPS, 7/15 play a sport and 3/5 play a musical instrument.The probability that a NCVPS student plays a sport or a musical instrument is 2/3. What is the probability that a NCVPS student play a sport AND a musical instrument?

Answer 1

Answer: 7/25 or 0.28

Explanation:

Given that 7/15 play a sport and 3/5 play a musical instrument.

The probability that a NCVPS student play a sport AND a musical instrument means multiplication of the two probabilities

7/15 × 3/5 = 21/75 = 7/25