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1/3160

The chances of you being the first one selected and then your friend the second are:

(1/80)x(1/79)= 1/6320 (once your are selected there are only 79 students left - your friend among the 79)

Likewise the chance of your friend being selected first and you second are also 1/6320

Since it doesn't matter which one of you gets chosen first the probability is the sum of those two probabilities, i.e. 2/6320 = 1/3160

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Q: A band leader randomly selects 2 students out of 80 band members. If you and your brother are both band members what is the probability that you are both selected?
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