The Springfield Kings, a professional basketball team, has won 12 of its last 20

Question

The Springfield Kings, a professional basketball team, has won 12 of its last 20 games and is expected to continue winning at the same percentage rate. The team’s ticket manager is anxious to attract a large crowd to tomorrow’s game but believes that depends on how well the Kings perform tonight against the Galveston Comets. He assesses the probability of drawing a large crowd to be 0.90 should the team win tonight. What is the probability that the team wins tonight and that there will be a large crowd at tomorrow’s game?

Explanation / Answer

solution:

The probability of winning tonight’s game is

Number of wins/number of games = 12/20

=0.6

The probability that the team wins tonight is 0.60. The probability that the team wins tonight and draws a large crowd at tomorrow’s game is a joint probability of dependent events. Let the probability of winning be P ( W ) and the probability of drawing a large crowd be P ( L ).

Thus P ( WL ) = P ( LW)* P (W)

=.90*.60

=.54

Thus, the probability of the team winning tonight and of there being a large crowd at tomorrow’s game is 0.54.

Thank you.

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