A pizza delivery company classifies its customers by gender

A pizza delivery company classifies its customers by gender and location of residence. The research department has gathered data from a random sample of 2124 customers. The data is summarized in die table below. What is the probability that a customer is female and lives in a sorority house or is female mid lives in \"Other\"? Enter your answer as a fraction or a decimal number rounded to four decimal places.

Solution

Let P(A) be probability of female and lives in sorority house
P(B) be probability of female and lives in other
Total Probability P = P(A)+P(B)
P(A)= Favourable cases/ Total Cases
= 114/2124
P(B)= Favourable cases / Total Cases
   = 291/2124
Total Probability = (114+291)/2124
   = 0.19 or 45/236