A department store manager has decided that dress code is ne

A department store manager has decided that dress code is necessary for team coherence. Team members are required to wear either blue shirts or red shirts. There are 9 men and 7 women in the team. On a particular day, 5 men wore blue shirts and 4 other wore red shirts, whereas 4 women wore blue shirts and 3 others wore red shirt. Apply the Addition Rule to determine the probability of finding men or blue shirts in the team.

Solution

P(men or blue shirts) = P(men) + P(blue shirts) - P(men AND blue shirts)

P(men or blue shirts) = (9/16) + (5+4)/16 -(5/16)

P(men or blue shirts) = (9+9-5)/16

P(men or blue shirts) = 13/16