Question

The probability that concert tickets are available by telephone is 0.91. for the same event, the probability that tickets are available through a web site is 0.95. assume that these two ways to buy tickets are independent. what is the probability that someone who tries to buy tickets both through the internet and by the telephone will obtain at least one ticket?

Answer 1

P(by phone) = 0.91
P(by web site) = 0.95

P(of failing to find a ticket by phone) = 1-0.91 = 0.09
P(of failing to find a ticket by Web) = 1-0.95 = 0.05

P(of failing by phone AND by web) = 0.0045
P(of getting AT LEAST 1 ticket) = P(of getting 1 OR 2 ticket) = 1-0.0045
and P(of getting 1 OR 2 ticket) = 0.9955