Question

The students in a school are all invited to participate in a survey. 48% of the students at the school are males, of whom 16% will participate in the survey. 35% of the females will also participate in the survey. A student is randomly chosen from the school. Find the probability that the student:

a) will participate in the survey

Answer 1

If the student is female then the probability that the student will participate is about 67%

If the student is male the probability that they participate is about 33%

Explanation:

It is given that 48% of the students in the school are male. That means that the remaining students in this school are (for the sack of this problem) female out 100% of students. You would subtract 48% from 100% which is 52% which is the percentage of students in the school who are female.

From this point you need to find the percentage of students who would participated in the survey. To do that you would divide the number of the type of student who did the survey by the type of student in the school. For example for the male you would divide 16% from 48% or 16 ÷ 48 which would equal to the proposed of males who would participate which is about 33% of males. You would do the same math for finding the probability of females so it would be 35 ÷ 52 which is about 67% of females.

Even though the random student is more likely to be female the chances of the gender of the student is almost 50%/50% because if you round it to the nearest tenth it would be 50.