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February 12th, 2014, 02:44 PM   #1
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Probability problem

In a woman single badminton match, the first player who wins two out of three sets win the match. The probability of a particular player winning a set is 0.7 if she has won the previous set. The probability of the player winning a set is 0.4 if she lost the previous set.

(a) Find the probability that the player wins the match given that she lost the first set.
0.7*0.4 = 0.28

(b) If the probability that the player wins the match is 0.64, find the probability that she wins the first set.
No clue, mind giving a tips? I've tried probability tree... and thinking of the rule of total probability.
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February 13th, 2014, 05:27 PM   #2
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Re: Probability problem

Hello, ystiang!

Quote:
In a woman single badminton match, the first player who wins two out of three sets wins the match.
The probability of a particular player winning a set is 0.7 if she has won the previous set.
The probability of the player winning a set is 0.4 if she lost the previous set.

(a) Find the probability that the player wins the match given that she lost the first set.
[color=beige]. . [/color]

(b) If the probability that the player wins the match is 0.64, find the probability that she wins the first set.



















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