A recent poll showed that 60% of the residents of the city of renton are democrats. a television reporter would like to interview a local democrat about an upcoming election. if the reporter begins randomly asking people on the street, what is the probability that he will find a democrat by the third person he stops?

Question

Mathematics

Jeremiah Sims

4 September, 06:22

A recent poll showed that 60% of the residents of the city of renton are democrats. a television reporter would like to interview a local democrat about an upcoming election. if the reporter begins randomly asking people on the street, what is the probability that he will find a democrat by the third person he stops?

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Stephanie · Answer 1

The probability is 93.6%.

There are three possibilities for this: either the first person is a Democrat, the second person is a Democrat, or the third person is a Democrat. The probabilities for this are:

0.6

0.4 (0.6) = 0.24

0.4 (0.4) (0.6) = 0.096

Since these are "or"s, we add the together:

0.6+0.24+0.096 = 0.936 = 93.6%