Out of a group of 120 students that were surveyed about water sports, 28 said they ski and 52 said they wake

board. 16 of the students who said they ski said they also wake board. If a student is chosen at random, find

P (skiſ does not wake board)

10% of the students ski and do not wake board

Step-by-step explanation:

The total number of students is 120. 28 students ski while 52 students wake board. 16 of the students ski and wake board.

Let S represent students who ski and W represent those who wake board also W' represent those who do not wake board.

Therefore:

S = 28

W = 52

n = total number of student = 120

S ∩ W = those who ski and wake board = 16

Those who ski and do not wake board = S ∩ W' = S - (S ∩ W) = 28 - 16 = 12

Probability of those who ski and do not wake board = (S ∩ W') / n = 12 / 120 = 0.1 = 10%

10% of the students ski and do not wake board