If three finalists are to be selected by a drawing out of seven men and two women then the probability that all three finalists will be men is 5/12.
What is Probability?
Probability is the likeliness of happening an event among all the events possible.
The formula of calculating probability is
P = number of events possible/total outcomes.
The value of probability lies between 0 and 1. It cannot be negative.
According to the given question:
Seven men and two women are semifinalists in a lottery.
So, total outcomes = 7 + 2 = 9
From this three finalists are to be selected by a drawing
Probability of all three finalists being men is
= 7/9 * 6/8 * 5/7
= 5/12
Hence, the probability that all three finalists will be men is 5/12.
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