Answer
0.008
Work Step by Step
Use multinomial formula with
$p0=0.5,p1=0.3,p2=0.15,p3=0.05,n=30,x0=15,x1=8,x2=5,x3=2$
$P=\frac{30!}{15!8!5!2!}0.5^{15}0.3^80.15^50.05^2=0.008$
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