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Ten of 16 students in Nyack's class are girls. His teacher selected two
helpers by randomly drawing names. He drew a boy's name first and
then a girl's name. Nyack thinks that the probability of this happening
is . Is he correct? If not, explain his error. 7.SP.8, 7.SP.8a, 7.SP.8b
15

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DeanR

I can't understand this after "happening is" but let's do it unaided.

The number of ways to draw a boy first is 6.

Given that, the number of ways to draw a girl next is 10.

That's out of a total of 16 x 15 length two permutations of 16 things

[tex]p = \dfrac{6 \times 10}{16(15)} = 1/4[/tex]

Answer: 1/4

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