What is the probability of Carrie scoring on a penalty kick in a match this afternoon?

Question

Carrie is a kicker on her rugby team she estimates that her chances of scoring on a penalty kick during a game are 75% when there is no wind but only 60% on a windy day .If the weather forecast gives a 55% probability of windy weather today what is the probability of Carrie scoring on a penalty kick in match this afternoon?

Answer 1

I prefer to do these with tree diagrams, but I can't draw one, so I'll try to explain

 

Windy and score is .55*.75 = .4125

Not windy and score is .45*.60 = .2700

 

So scoring should be the sum which is .6825 or 68.25%.

 

Hope this helped.