The table shows a baseball players batting average at home a

The table shows a baseball player’s batting average at home and away during the day and at night.

Day Games   Night Games

Home Games 0.285 0.275

Away Games 0.215 0.225

Assume these numbers are the probabilities that he will get a hit during an “at bat.” On average, how many more hits will he get when he bats 100 times at home during the day as opposed to 100 times away at night? 3, 6, 30, 60 are my choices

Solution

Probabilty of hit on a home game during day is 0.285 so expected number of hits is 28.5

Probability of hit on a away game at night is .225 so expected number of hits is 22.5

So he gets 28.5-22.5 =6 more hits.