Three people have been nominated for president of a class. From a poll, it is estimated that the first candidate has a 37% chance of winning and the second candidate has a 44% chance of winning. What is the probability that the third candidate will win?

Question

Vincent Mosley

Mathematics

10 May, 00:05

Three people have been nominated for president of a class. From a poll, it is estimated that the first candidate has a 37% chance of winning and the second candidate has a 44% chance of winning. What is the probability that the third candidate will win?

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Answers (1)

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Leyla Golden · Answer 1

19%

Step-by-step explanation:

We assume that the class has to have a president. So the chances of none of the candidates winning is 0%. In turn we expect that one of the candidates will win the elections, therefore the chances of someone winning is 100%. Therefore the chances of the third candidate winning can be calculated by removing the chances of the other two candidates winning

P (third candidate winning) = 100% - (37%+44%) = 19%