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sergij07 [2.7K]
3 years ago
10

What is the probability that the student attended the jazz concert given that student is a junior

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer: C. 0.60

Step-by-step explanation:

From the given table , the number of students are junior : 60

The total number of students = 137

The probability of selecting any junior is given by  :-

\text{P(Junior)}=\dfrac{60}{137}

The number of juniors which who attended Jazz = 36

Then , the probability of selecting a students is junior and attends jazz is given by  :-

\text{P(Junior and Jazz)}=\dfrac{36}{137}

Now, the conditional probability  that the student attended the jazz concert given that student is a junior  will be :-

\text{P(Jazz}|\text{Junior)}=\dfrac{\dfrac{36}{137}}{\dfrac{60}{137}}\\\\\\=\dfrac{6}{10}=0.60

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