A group of 350 people includes 167 play the flute, 182 play the clarinet, and 86 both the flute and the clarinet. a person is selected at random. 1. what is the probability that he/she plays the clarinet but not the flute?

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sofiaday2158 sofiaday2158

07-04-2018
Mathematics

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A group of 350 people includes 167 play the flute, 182 play the clarinet, and 86 both the flute and the clarinet. a person is selected at random. 1. what is the probability that he/she plays the clarinet but not the flute?

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hkirkman hkirkman · Answer 1 · 2018-04-08T03:32:09+02:00

Hi! So this is just a simple probability question that seems a lot more complicated than it actually is. To find the probability that they only play clarinet, all you have to do is take 182 and subtract 86 because it eliminates the people that also play the flute. After doing this, you put your answer (96) and put it over the total amount of people (350). There for there is a 96 in 350 chance that they will only play clarinet.