Question

In a second grade class containing 13 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl?

Answer 1

The probability that the second student chosen is a boy, given that the first one was a girl, is approximately 0.4286 or 42.86%.

Step-by-step explanation:

To find the probability that the second student chosen is a boy, given that the first one was a girl, we need to use conditional probability. There are 13 girls and 9 boys in the class, so the total number of students is 13 + 9 = 22. If the first student chosen is a girl, there are now 12 girls and 9 boys left. The probability that the second student chosen is a boy, given that the first one was a girl, is:

(Number of boys left)/(Total number of students left)

= 9/21

= 0.4286

So, the probability is approximately 0.4286 or 42.86%.

Answer 2

42.86% probability that the second student chosen is a boy, given that the first one was a girl.

Step-by-step explanation:

Initially, there are 22 students, of which 13 are girls and 9 are boys.

The first student chosen was a girl, so now there are 21 students, of which 12 are girls and 9 are boys.

What is the probability that the second student chosen is a boy, given that the first one was a girl?

There are 21 students, of which 9 are boys. So there is a 3/7 = 0.4286 = 42.86% probability that the second student chosen is a boy, given that the first one was a girl.