SOLUTION: Suzi has taken up golf, and she buys a golf bag containing five different clubs. Unfortunately she does not know when to use each club, and so chooses them randomly for each shot.

Question 980500: Suzi has taken up golf, and she buys a golf bag containing five different clubs. Unfortunately she does not know when to use each club, and so chooses them randomly for each shot. The probabilities for each shot that Suzi makes are shown below
Right club
--------------
Good shot - 2/3
Bad shot - 1/3
Wrong club
-----------------
Good shot - 1/4
Bad shot - 3/4

a) Use the above information to construct a tree diagram.
b) At one short hole, she can reach the green in one shot if it is 'good'. If her first shot is 'bad', it takes one more 'good' shot to reach the green. Find the probability that she reaches the green in at most two shots.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Four outcomes.
RG
RB
WG
WB
.
.
.
So find the probability of getting a good shot.

The probability of choosing the right club is 1 out of 5 so probability of wrong club is 4 out of 5.

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