Question

characteristics: • Of all the games, 67% were at-home games. Denote this by H (the remaining were away games). • Of all the games, 30% were wins. Denote this by W (the remaining were losses). • Of the at-home games, 34% of games were wins. Of all the games__________

Answer 1

`P(W\cap H)  = 22.8%`

Explanation:

Given data:

variables deceleration follow as

H - Home - Games

W - Winning Games

from the information we have

P(H) = 0.67

P(W)= 0.30

`P(W\mid H) = 0.34`

Need to calculate the percentage of games that win at home. i.e.

`P(W\cap H)`

we know that:

`P(W\mid H) = (P(W\cap H))/(P(H))`

`0.34 =(P(W\cap H))/(0.67)`

therefore we have

`P(W\cap H) = 0.34* 0.67`

= 0.228

`P(W\cap H)  = 22.8%`