SOLUTION: The odds against Dr Thomas winning the school golf tournament are 5:2. What is the probability of Thomas winning
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Question 537493: The odds against Dr Thomas winning the school golf tournament are 5:2. What is the probability of Thomas winning Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The odds against Dr Thomas winning the school golf tournament are 5:2. What is the probability of Thomas winning
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odds against winning = P(lose)/P(win) = 5/2
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Equations:
2*P(lose) - 5*P(win) = 0
P(lose) + P(win) = 1
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Multiply thru the lower equation by 2 to get:
2lose -5win = 0
2lose+ 2win = 2
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Subtract and solve for P(win)
7win = 2
P(win) = 2/7
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Cheers,
Stan H.
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