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Question: The table shows the breakdown of performers in a particular traveling circus. trapeze artists 13 magicians 10 dancers 3 clowns 1 What is the probability that a randomly selected performer will be a dancer? Write your answer as a fraction or whole number. P(dancer)=
To find the probability, you need to divide the total number of dancers by the total number of performers. Total number of performers = 13 (trapeze artists) + 10 (magicians) + 3 (dancers) + 1 (clowns) = 27. There are 3 dancers, so the probability (P) of randomly selecting a dancer is 3 divided by 27. Therefore, P(dancer)= 3/27. To simplify this fraction, you can divide both the numerator and the denominator by the greatest common divisor, which is 3, to get 1/9. So the probability that a randomly selected performer will be a dancer is 1/9.
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