2.1. Tree Diagrams http://www.ck12.org
According to the survey, what percentage of the fans want each of the possible World Series match-ups? Do all of
the probabilities add up to 100%?
Answer:
The percentage of the fans wanting each of the possible World Series match-ups can be calculated as follows:
P(Phillies and Rangers) = 0. 54 × 0. 42
P(Phillies and Rangers) = 0. 2268
P(Phillies and Rangers) = 22 .68%P(Phillies and Yankees) = 0. 54 × 0. 58
P(Phillies and Yankees) = 0. 3132
P(Phillies and Yankees) = 31 .32%P(Giants and Rangers) = 0. 46 × 0. 48
P(Giants and Rangers) = 0. 2208
P(Giants and Rangers) = 22 .08%P(Giants and Yankees) = 0. 46 × 0. 52
P(Giants and Yankees) = 0. 2392
P(Giants and Yankees) = 23 .92%