Answer
0.05
Work Step by Step
Given $p1=0.5, p2=0.4, p3=0.1, x1=5, x2=3, x3=2, n=10$
use the formula for Multinomial Distribution,
$P=\frac{10!}{5!3!2!}\times0.5^50.4^30.1^2=0.05$
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