Yadier Molina catcher for the St Louis Cardinals had a batti

Yadier Molina, catcher for the St. Louis Cardinals, had a batting average of 0.270 during the 2015 Major League Baseball season. If we assume that the probability of Yadi getting a hit is equal to his batting average, and that each at bat is independent, what is the probability that he will get zero hits in two consecutive at bats?

Solution

PROBABILITY OF GETTING A HIT = 0.270

THEREFORE PROBABILITY OF NOT GETTING A HIT = 1-0.270 = 0.730

HENCE THE PROBABILITY THAT TWO NON HITS CONSEQUETIVE = 0.730^2 = 0.532