A suburban high school has a population of 1376 students. The number of students who participate in sports is 649. The number of students who participate in music is 433. If the probability that a student participates in either sports or music is 974/1376 , what is the probability that a student participates in both sports and music

Step-by-step explanation:

total number of students = 1376

no. of students who participate in sports= 649

n0. of students who participate in music = 433

student participates in either sports or music= 974

The probability of sports and music is equal to probability of sports plus the probability of music minus their overlap

P(s ∪ m)= P(s) + P(m) - P(s∩m)

974/1376 = 649/1376 + 433/1376 - P(s∩m)

974/1376= 1082/1376  - P(s∩m)

P(s∩m)= 1082/1376- 974/1376 => 108/1376

Thus, the probability that a student participates in both sports and music is

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step-by-step explanation: