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1. An urn contains 6 red, 5 blue and 2 green marbles. If 2 marbles are picked at random, what is the probability that both are red?

A. $\frac{6}{13}$

B. $\frac{5}{26}$

C. $\frac{5}{13}$

D. $\frac{7}{26}$

Solution:

P(Both are red),

\begin{aligned} = \frac{^{6} C_{2}}{^{13} C_{2}} \\ = \frac{5}{26} \end{aligned}

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