Question

Giving a test to a group of students, the grades and gender are summarized below: Grades and Gender A B C Total Male 11 14 4 29 Female 16 8 2 26 Total 27 22 6 55 If one student is chosen at random, find the probability that the student was female AND got a "B". Round your answer to 4 decimal places.

Answer 1

The probability that a student chosen at random was female AND got a "B" is approximately 0.1455 when rounded to four decimal places.

Step-by-step explanation:

To find the probability that a student chosen at random was female AND got a "B", we look at the intersection of being female and receiving a grade of "B" from the summarized data.

There are 8 female students who got a "B". The total number of students is 55. Therefore, the probability is calculated by dividing the number of female students who got a "B" by the total number of students:

P(Female and B) = Number of Female with B grade / Total number of students

P(Female and B) = 8 / 55

To get the desired accuracy, we simply perform the division and then round the result to four decimal places:

P(Female and B) ≈ 0.1455