There are 32 students in mrs. worrells classroom. There are 12 boys and 20 girls. She needs to select two students to represent she class for a math contest. She will put all her students names on a piece of paper and randomly select two names, one after the other. What is the possibility that she will select a boy first and then a girl?

A. 1/4

B. 15/64

C. 15/62

D. 1/2

Question

Mathematics

Messiah Wagner

29 August, 16:38

There are 32 students in mrs. worrells classroom. There are 12 boys and 20 girls. She needs to select two students to represent she class for a math contest. She will put all her students names on a piece of paper and randomly select two names, one after the other. What is the possibility that she will select a boy first and then a girl?

A. 1/4

B. 15/64

C. 15/62

D. 1/2

+2

Answers (2)

Know the Answer?

Ada · Answer 1

C. 15/62

Step-by-step explanation:

The probability of drawing a boy's name first is 12/32. Then the probability of drawing a girl's name is 20/31, assuming the boy's name was not replaced. The joint probabiilty is the product of these:

... (12/32) · (20/31) = (3·4·5·4) / (16·2·31) = 15/62