A bag contains 5 black and 4 white balls. Two balls are drawn at random. The probability that they match is

\frac{7}{12}

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\frac{5}{8}

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\frac{5}{9}

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\frac{4}{9}

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Solution

The correct option is C $\frac{4}{9}$
The two cases will be considered $=$ both black or both white
$P$ (both black) $= C (5, 2) / C (9, 2)$
$P$ (both white) $= C (4, 2) / C (9, 2)$
$\Rightarrow P = 4 / 9$

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