You are going to play 2 lottery scratch off tickets The prob

You are going to play 2 lottery scratch off tickets. The probability you win with the first ticket is 0.60. If you win with the first ticket, the probability you will win with the second scrach off ticket is 0.75. If lose with the first ticket, the probability you win the second tcket is 0.55. What is the probability you win with exactly one ticket? (Round your answer to two decimal places)

Solution

P(1 ticket) = P(lose 1st) P(win second|lost first) + P(win first) P(lost second|win first)

= (1-0.60)*(0.55) + 0.60*(1-0.75)

= 0.37 [ANSWER]