on average suppose a baseball player hits a home run once in

on average, suppose a baseball player hits a home run once in every 10times at bat, and suppose the player gets exactly 4\'at bats\' in every game. Assuiming a season of 100 games, use simulation to estimate the probabibility that the player will hit 2 home runs in a single game

Solution

HOME RUN ONCE IN 10 TIMES AT BAT THAT MEANS PROBABILITY OF 10% HITING

NOW IN A MATCH WE GET 4 AT BATS

PROBABILITY OF HITING 1 HOME RUM IN A MATCH WILL BE 0.1*4 = 0.4

NOW WE HAVE TO CALCULATE THE PROBABILITY OF HITIING 2 HOME RUNS IN MATCH WILL BE 0.4^2 = 0.160