Question 257449
total ways of selecting two students is {{{23c2}}}
favorable ways are {{{11c2}}}
so the probability that both students will be males = {{{(11c2)/(23c2)}}}
                                                 
                                                    = 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