Question

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

Answer 1

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 :-

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