Question 1168144: The probability of a dry day is 5/6.
If it is a dry day, the probability that Devonte cycles to work is 1/4, that he drives to work is 1/4, and that he takes the train to work is 1/2.
If it is a wet day, the probability that Devonte cycles to work is 2/15,
that he drives to work is 2/15, and that he takes the train to work is 11/15.
Determine the probability that Devonte takes the train to work.
If anyone could help me with this question, that would be great :D
I do not understand even after reviewing my notes. Please and thank you so much!
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the probability of taking the train is the sum of the probability of taking the train given that it is a dry day plus the probability of taking the train given that it is a wet dry.
the probability that it is a dry day is 5/6 and the probability that it is a wet day is 1/6.
the probability of taking the train given that it is a dry day is 1/2.
the probability of taking the train given that it is a wet day is 11/15.
the probability of taking the train is therefore 5/6 * 1/2 + 1/6 * 11/15 = 5/12 + 11/90 = 75/180 + 22/180 = 97/180 = .5389
|
|
|
