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Probability

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If you were to pick two students out of a class of 7 girls and 6 boys, what is the probability that the students chosen are two boys?

May 31, 2021

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If you were to pick two students out of a class of 7 girls and 6 boys,

what is the probability that the students chosen are two boys?

$$\begin{array}{|rcll|} \hline \dfrac{ \binom{6}{2}_{\text{Boys}}\binom{7}{0}_{\text{Girls} } } {\binom{13}{2}_{\text{Boys and Girls} } } &=& \dfrac{5}{26}\\ \text{or} \\ \dfrac{6}{13}*\dfrac{5}{12}&=& \dfrac{5}{26}\\ \hline \end{array}$$

The probability is $$19.23 \%$$

May 31, 2021