Question

Freddy’s batting average is 400. That means the probability of him getting a hit any time he is at bat is 2 out of 5. Estimate the probability that it will take at least three times at bat for him to get a hit. Let the digits 0-3 represent hits and 4-9 represent not getting a hit. Perform 20 trials of a simulation using the random digits in the table below to determine your answer.

Answer 1

Since the probability of a hit is 2/5, not getting hit has the probability
(1-2/5)=3/5.
We deduce that the probability of the event:
"that it will take at least three times at bat for him to get a hit" is the following:
$\left( \frac{3}{5}\right)^3 \left( \frac{2}{5}\right)^7 =$