SOLUTION: A class has 12 females and 11 males. If two different students are selected at random to go to the board, what is the probability that both students will be males?

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Question 257449: A class has 12 females and 11 males. If two different students are selected at random to go to the board, what is the probability that both students will be males?
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
total ways of selecting two students is 23c2
favorable ways are 11c2
so the probability that both students will be males = %2811c2%29%2F%2823c2%29

= 5/23 ans
another way of answering
prob. that first student is male = 11/23
prob. that second student is male = 10/22
so the probability that both students will be males=(11/23)*(10/22)
=5/23