Probability and Stats

Question

At the entrance to a casino, there are two slot machines. Machine A is programmed so that in the long run it will produce a winner in 10% of the plays. Machine B is programmed so that in the long run it will produce a winner in 15% of the plays.

1. If we play each machine once, what is the probability that we will lose on both plays?

2. If we play each machine once, what is the probability that we will win on at least one play?

Answer 1

lose on both = 90 x 85% = 76.5% of the time on average

win on at least one= 100-76.5 = 23.5% probability