Exercise · ZW-CLASSICAL-PROBABILITY-010 · ★★★ Advanced
From a group of 4 women and 2 men, a committee of 2 people is chosen at random. What is the probability that it includes at least one woman?
Choose one option.
Show answer
- B. \(\frac{14}{15}\)
Explanation
There are \(\binom62=15\) possible committees and only 1 with no women (the two men). So \(1-\frac1{15}=\frac{14}{15}\).
Review the concept: Classical probability
The classical probability \(P(A)\) of an event \(A\), when the sample space \(\Omega\) is finite with equally likely outcomes, is the ratio of favorable to possible outcomes.
\[P(A)=\frac{|A|}{|\Omega|}\]
More practice problems: classical probability
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