Question

In a class of students, the following data table summarizes the gender of the students

and whether they have an A in the class. What is the probability that a student chosen
randomly from the class is a male who does not have an A?
Has an A
Does not have an A
Female Male
16
2
5
4

Answer 1

To find the probability that a randomly chosen student from the class is a male who does not have an A, we need to calculate the ratio of the number of males who do not have an A to the total number of students.

From the given data table:

- The number of males who do not have an A is 4.
- The total number of students is the sum of all the values in the table: 16 + 2 + 5 + 4 = 27.

Therefore, the probability can be calculated as follows:

Probability = (Number of males who do not have an A) / (Total number of students)
= 4 / 27
≈ 0.1481 (rounded to four decimal places)

Hence, the probability that a randomly chosen student from the class is a male who does not have an A is approximately 0.1481.