two slot machines are next to each other in a Las Vegas rest

two slot machines are next to each other in a Las Vegas restaurant waiting room and work independently. Each machine gives a player a probability of winning of .15 for a single play. if you play both machines once, what is the combined probability that you win on both?

A).0225

B).15

C).3

D).85

Solution

as they are independent we can calculate the probability of win on both with

multiplying the probabilites of winning of each one

Probability that you win on both = 0.15 * 0.15 = 0.0225