Question

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

Answer 1

At least 3 hits in 9 at bats means

`\begin{gathered} 9C3=(9!)/(3!(9-3)!)=(9!)/(3!(6)!) \\ 9C3=84 \\ \end{gathered}`

Using the binomial formula:

`9C3\cdot0.196^3\cdot(1-0.196)^(9-3)\approx0.17`

17%