# Thread: Need Help With Probability Problem

1. ## Need Help With Probability Problem

The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 11 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting 2 or fewer women when 11 people are picked?

2. Originally Posted by krunch007
The participants in a television quiz show are picked from a large pool of applicants with approximately equal numbers of men and women. Among the last 11 participants there have been only 2 women. If participants are picked randomly, what is the probability of getting 2 or fewer women when 11 people are picked?
Let X be the random variable number of women picked.

X ~ Binomial(n = 11, p = 1/2) (since pool is large p can be assumed to stay the same)

Calculate $\Pr(X \leq 2)$.

3. ## Thanks....you were right

[quote=mr fantastic;132098]Let X be the random variable number of women picked.

X ~ Binomial(n = 11, p = 1/2) (since pool is large p can be assumed to stay the same)

Calculate $\Pr(X \leq 2)$.[/quote

Thanks Mr. Fantastic....I was a little confused as to why u used 1/2 for p..but now I get it....

thanks again....

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### probability of getting 2 or fewer women

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