A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom a

Question

A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them. 

What is the probability that both of Eduardo’s partners for the group project will not be boys?

StartFraction 9 Over 65 EndFraction
StartFraction 24 Over 65 EndFraction
StartFraction 64 Over 169 EndFraction
StartFraction 128 Over 325 EndFraction

GPT-5 mini · Answer

There are 16 girls and 10 boys among the 26 students. The probability both draws are girls (no boys) without replacement is

(16/26) * (15/25) = (8/13) * (3/5) = 24/65.

So the answer is 24/65.

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