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soldier1979
2 months ago
12

This table shows how many sophomores and juniors attended two school events. A student is selected randomly from this group.

Mathematics
1 answer:
AnnZ [12.3K]2 months ago
8 0

Response: B. 0.45

Detailed explanation:

According to the table provided, the total number of students is 137

The total of sophomore students is 35 + 42 = 77

Let A represent the event for sophomore students.

Thus, the probability of the students being sophomores is calculated as:

\text{P(A)}=\dfrac{77}{137}

Out of these, the sophomore students who went to the jazz concert number 35

Let B denote the event of attending the jazz concert.

The probability of attending the jazz concert while being sophomores is calculated as:

\text{P(A and B)}=\dfrac{35}{137}

Therefore, the probability that a student attended the jazz concert given that they are a sophomore is given by:-

P(B|A)=\dfrac{\text{P(A and B)}}{\text{P(A)}}\\\\=\dfrac{\dfrac{35}{137}}{\dfrac{77}{137}}\\\\\\=\dfrac{35}{77}=0.454545454545\approx0.45

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