Question

Giving a test to a group of students, the grades and genders are summarized below.

A B
C
Male 6 17 7
Female 13 9 16
Total
19
26
23
Total
30
38
68
If one student is chosen at random,
find the probability that the student was male OR received a grade of "C". (Leave answer to four decimal
places.)
Check Answer

Answer 1

To find the probability that the student chosen at random was male OR received a grade of "C," we need to calculate the probability of each event separately and then add them together.

Probability of being male = (Number of male students) / (Total number of students) = (30) / (68) ≈ 0.4412

Probability of receiving a grade of "C" = (Number of students who received a grade of "C") / (Total number of students) = (23) / (68) ≈ 0.3382

To find the probability of the student being male OR receiving a grade of "C," we add the individual probabilities:

Probability of being male OR receiving a grade of "C" = Probability of being male + Probability of receiving a grade of "C" - Probability of being male AND receiving a grade of "C"

Probability of being male OR receiving a grade of "C" = 0.4412 + 0.3382 - (7/68) ≈ 0.7794

Therefore, the probability that the student chosen at random was male OR received a grade of "C" is approximately 0.7794.

Explanation: