# 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%