A research study concerning teenagers and video games report

A research study concerning teenagers and video games reported that of those teenagers who play video games, 74% play racing games and 49% play strategy games. Suppose 35% play both genres and supposea a teenager who plays video games is selected at random.

a) What is the probability that the teenager plays racing games or strategy games?

b) What is the probability that the teenager does not play racing games or strategy games?

c) What is the probability that the teenager plays only racing games? Only strategy games?

Solution

a) the probability that the teenager plays racing games or strategy games = 74+49-35% = 88%

b) the probability that the teenager does not play racing games or strategy games = 100-88% = 12%

c)  the probability that the teenager plays only racing games = 49-35 = 14%

the probability that the teenager plays only strategy games= 74-35 = 39%