Question

: Three competing companies have been authorized to sell tickets for a very popular sporting event....

: Three competing companies have been authorized to sell tickets for a very popular sporting event. Each company has been allocated a different number of tickets, and based on expected demand they have each published probabilities of successfully obtaining tickets through their websites. The table below shows the companies and the associated probabilities of success.

      1                        0.75

      2                        0.82

      3                        0.88

Assuming that these three ways to buy tickets are independent, what is the probability that you will successfully get tickets if you try all three companies?

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Answer #1

Probability of getting tickets successfully means getting ticket from at least one company website. This will be equal to 1 minus the probability of not getting ticket from any of the company website.

Required probability = 1 - (1-0.75)(1-0.82)(1-0.88) = 0.9946

There is a 99.46% chance of successfully obtaining ticket if you try all three companies.

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