In a class of 30 students, 3 of the 16 boys are left-handed and 2 of the 14

girls are left-handed. One student is chosen at random. Which of the

following represents a conditional probability?

O

A. The probability that the student is left-handed, given that the

student is a boy

B. The probability that the student is a girl and left-handed

O

C. The probability that the student is right-handed

O

D. The probability that the student is not a boy

I believe it is A, but I am not entirely sure.

A. The probability that the student is left-handed, given that the

student is a boy

Step-by-step explanation:

Given

Number of students = 30

Number of boys = 16

Number of girls = 14

Left handed boys = 3

Left handed girls = 2

Suppose that there are two events A and B; conditional probability of an event B is defined such as the probability that the event B will occur provided that event A has already occurred.

Looking at option A through D, the best option that fits the question is option A.

The reason is that;

The option presents the probability that a selected student is left handed provided that the selected student is a boy.

We can split this statement to 2 events;

Event A: Probability that a selected student is a boy

Event B: Probability that a selected student is left handed