There is a 25% chance that Seattle will build a new basketball stadium in the next five years.If the stadium is built, there is a 60% chance that Seattle will get a new expansion NBA team.If the stadium is not built, there is only a 15% chance that Seattle will get a new expansion NBA team.Using a probability tree, determine the probability that Seattle will get a new expansion NBA team.
A)15%
B)26%
C)60%
D)70%
E)90%

Question

Quizplus · Accepted Answer

The probability that Seattle gets a new expansion NBA team can be calculated by considering both paths that lead to this outcome: 1) the stadium is built and then the team is acquired, and 2) the stadium is not built but the team is still acquired. The probability for the first path is 0.25 (chance the stadium is built) * 0.60 (chance of getting the team if the stadium is built) = 0.15. The probability for the second path is 0.75 (chance the stadium is not built) * 0.15 (chance of getting the team if the stadium is not built) = 0.1125. Adding these probabilities together gives 0.15 + 0.1125 = 0.2625, or 26% when rounded.

There Is a 25% Chance That Seattle Will Build a New