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Sagot :
Using the concepts of Probability, we got 0.2743 is the probability that he/she plays the clarinet but not the flute.
Conditional probability is called as the possibility of an event or outcome happening, based on existence of a previous event or outcome. It is calculated by the multiplying the probability of the preceding event by the renewed probability of succeeding, or conditional, event.
We need to find those persons who can play clarinet but not the flute,
So, we first subtract those person from the clarinets list who are able to paly both clarinet and flute.
Suppose, Number of person who can play clarinet=172
Number of person who are able to play both clarinet and flute=47
Therefore, number of person who are only able to play clarinet but not flute=172-47=125
Probability(P)= [tex]\frac{Number of perople who are only able to play clarinet}{Total number of people}[/tex]
=>P=( 125 / 350)
=>P=0.2743.
Hence, if a single person is selected at random,0.2743 is the probability that he/she is able to play clarinet but not flute.
To know more about Probability, visit here:
https://brainly.com/question/11234923
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