below a two - way table is given for student activities:\n| | sports | drama | work | total…

below a two - way table is given for student activities:\n| | sports | drama | work | total |\n|--|--|--|--|--|\n| sophomore | 20 | 7 | 3 | 30 |\n| junior | 20 | 13 | 2 | 35 |\n| senior | 25 | 5 | 5 | 35 |\n| total | 65 | 25 | 10 | 100 |\nfollow the steps to find the probability a student is in sports, given that they are a senior.\nnext, find the probability that its a senior in sports.\np(senior) = 0.35 p(senior and sports) = ?\nenter your answer in decimal form. do not round.

below a two - way table is given for student activities:\n| | sports | drama | work | total |\n|--|--|--|--|--|\n| sophomore | 20 | 7 | 3 | 30 |\n| junior | 20 | 13 | 2 | 35 |\n| senior | 25 | 5 | 5 | 35 |\n| total | 65 | 25 | 10 | 100 |\nfollow the steps to find the probability a student is in sports, given that they are a senior.\nnext, find the probability that its a senior in sports.\np(senior) = 0.35 p(senior and sports) = ?\nenter your answer in decimal form. do not round.

Answer

Explanation:

Step1: Identify relevant values from table

The number of seniors in sports is 25, and the total number of students is 100.

Step2: Calculate probability

The probability of a student being a senior and in sports is the number of seniors in sports divided by the total number of students. So $P(\text{senior and sports})=\frac{25}{100}$.

Answer:

0.25