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There are 143 boys in the senior class. 21 wrestle. 27 play football. 104 do not participate in either sport.

What is the probability that a senior boy plays both football and wrestles?

Answer :

Therefore, the probability that a senior boy does both wrestling and football is approximately 0.063 or 6.3%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain. The probability of an event can be determined by calculating the ratio of the number of favorable outcomes to the total number of possible outcomes.

Here,

Let A be the event that a senior boy wrestles, and B be the event that a senior boy plays football. Then, we want to find P(A and B), the probability that a senior boy does both wrestling and football. We know that there are 143 senior boys in total, 104 of whom do not do either wrestling or football. Therefore, the number of boys who do at least one of the two sports is:

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

= 21 + 27 - N(A and B) (since we don't know N(A and B))

= 48 - N(A and B)

We also know that N(A or B) = 143 - 104 = 39.

Therefore, we can solve for N(A and B):

N(A and B) = 48 - N(A or B)

= 48 - 39

= 9

So there are 9 senior boys who do both wrestling and football.

Finally, we can find the probability that a senior boy does both sports by dividing N(A and B) by the total number of senior boys:

P(A and B) = N(A and B) / N(total)

= 9 / 143

To know more about probability,

https://brainly.com/question/30034780

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