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

The probability that a student participates in both sports and music is 108/1376

Explanation:

Let x be the number of students participating in both sports and music

According to the question:

P(A or B) = P(A) + P(B) - P(A and B)

P(sports or music) = P(sports) + P(music) - P(sports and music)

P(sports and music) =

Therefore, the probability that a student participates in both sports and music is 108/1376

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.