Answer
$\approx0.3729$
Work Step by Step
The formula for a binomial probability: $P(X=k)={n\choose k}p^k(1-p)^{n-k}$
Hence $P(X=2)={4\choose 2}(\frac{9}{19})^2(1-\frac{9}{19})^{4-2}\approx0.3729$
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