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A high school baseball player has a 0.196 batting average . in one game ,he gets 9 bats . what is the probability he get at least 3 hits in the game

Sagot :

At least 3 hits in 9 at bats means

[tex]\begin{gathered} 9C3=\frac{9!}{3!(9-3)!}=\frac{9!}{3!(6)!} \\ 9C3=84 \\ \end{gathered}[/tex]

Using the binomial formula:

[tex]9C3\cdot0.196^3\cdot(1-0.196)^{9-3}\approx0.17[/tex]

17%