In a certain Algebra 2 class of 29 students, 14 of them play basketball and 8 of them play baseball. There are 9 students who pl

Question

3 years ago

11

In a certain Algebra 2 class of 29 students, 14 of them play basketball and 8 of them play baseball. There are 9 students who pl

ay neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Mathematics

1 answer:

EastWind [94] · Answer 1 · 2021-12-21T16:03:02+03:00

Answer:

2/29

Step-by-step explanation:

If 9 play none, of the 29 students, 29-9 =20 play at least one. If 14 play basketball, then 20-14 = 6 play only baseball. Since 8 play baseball, there must be 8-6 = 2 who play both baseball and basketball.

Choosing at random, the probability is 2/29 that a student will be chosen who plays both sports.