A basketball team plays 60% of its games at home. The home court advantage is obvious, because the team wins 70% of its home games, but when they play away, they win only 35% of their games. What is the (conditional) probability of losing, GIVEN THAT the game was played away?
1 Answer
Dec 25, 2014
We will have to consider two distinct cases: home (H) and out (O) within these cases we have win (W) and loose (L)
We note probabilities by P and convert % to fractions
(divide by 100)
(1) Playing home:
Loosing home
Multiply because it is
(2) Playing out:
Loosing out
Multiply because it is
Since cases (1) and (2) are of the "either...or" type you may add the probabilities:
Conclusion:
The (conditional) probability of loosing is 44%