Question

200 random people were surveyed at an amusement park and asked if they ride roller
coasters and if they play games while at the park. 130 of those surveyed ride roller
coasters. 86 of those surveyed play games. 70 of those surveyed ride roller coasters and
play games. Use the formulas in the text to answer the following questions.
a) What is the probability a person at the amusement park rides roller coasters or plays
games?
b) What is the probability a person at the amusement park does ride roller coasters?
c) Are the events of a person riding roller coasters and playing games mutually exclusive?

Answer 1

Answer:

let the P(ride roller coaster) be A and P(play games) be B

a. P(AUB) = P(A) + P(B) - P(AnB)

= 130/200 + 86/200 - 70/20.

= 146/200

= 73/100

b. P(A) = 130/200

= 13/20

c. not mutually exclusive