Question

1. In a class of 30 students, there are 15 students who can play basketball, 7 students who can play volleyball, and 2 students who can do both. Find the probability that a student selected at random can play basketball or volleyball.2. The probability that a new ship will get an award for its design is 0.24, the probability that it will get an award for the efficient use of materials is 0.36, and that it will get both awards is 0.15. What is the probability that it will get at least one of the two awards?

Answer 1

we are given that

n=30

basket=15

Volley=7

both=2

P a student plays basket or Volley

then

to find the probabilite of basket or volley we do

`(A+B-A\cap B)/(n)`

then

`(15+7-2)/(30)=(20)/(30)`

then the probability is

20/30= 0.67 = 67%