Suppose a math class contains 46 students, 22 females (six of whom speak French) and 24 males (three of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is male.

To compute the probability that a randomly selected student speaks French, given that the student is male, we need to find the number of French-speaking males and divide it by the total number of males.

First, let's find the number of male students who speak French. We know that there are 24 male students in total, and 3 of them speak French.

So, the number of male students who speak French is 3.

Next, let's find the total number of male students. We already know that there are 24 male students.

Now, we can calculate the probability by dividing the number of French-speaking male students by the total number of male students:

Probability = Number of French-speaking male students / Total number of male students

Probability = 3 / 24

Simplifying this fraction:

Probability = 1 / 8 = 0.125

Therefore, the probability that a randomly selected student speaks French, given that the student is male, is 0.125 or 12.5%.