If the odds against Deborah's winning first prize in a chess tournament are 1 to 7, what is the probability of the event that s
he will win first prize?
1 answer:
Answer:
7/8
Step-by-step explanation:
Odds against are the ratio between losses and wins.
odds against = L / W
Probability of winning is the ratio between wins and all games.
probability = W / games
probability = W / (W + L)
The odds against are 1 to 7.
1/7 = L / W
W = 7 L
The probability is therefore:
P = (7 L) / (7 L + L)
P = 7/8
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