Find the probability that the teacher selects a girl first and a girl second. Write your answer as a decimal rounded to the nearest thousandth.

Question

A math teacher randomly selects one student in a class to write a probability question on a chalkboard. The teacher then randomly selects a different student to answer the probability question. There are 10 boys in the class, and the ratio of boys to girls is 5:8. Find the probability that the teacher selects a girl first and a girl second. Write your answer as a decimal rounded to the nearest thousandth.

The probability is about .

Answer 1

First note that there are 16 girls in the class of 26.

The probability of a girl on the first pick is 16/26=8/13.

The probability of a girl on the 2nd pick is 15/25=3/5

The probability of the event girls 1st & girl 2nd is (8*3)/(13*5)=24/65...you do the arithmetic.