Answer:
21/136
Explanation:
The probability of selecting a boy from the class on the first draw is 7 boys out of 17 students total, or 7/17.
After the first boy is selected, there will be 6 boys and 10 girls left in the class.
So the probability of selecting a boy on the second draw, given that a boy was already selected on the first draw, will be 6 boys out of 16 remaining students, or 6/16.
To find the probability that both students selected are boys, we can multiply the probabilities of selecting a boy on the first and second draws:
P(boy and then boy) = P(boy on first draw) x P(boy on second draw | boy on first draw)
P(boy and then boy) = (7/17) x (6/16)
P(boy and then boy) = 21/136
Therefore, the probability of selecting two boys from Mr. Smith's class is 21/136.