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Answer:
Option 1: The replaced student is male
Now the probability of selecting a male from first class = 13/23
Probability that now the selected student from second class is female
=> 15/(15+8)*13/23 ( Since there are 23 students after replacements = 15 female and 8 male)
= 15/23*13/23 = 195/529
Option 2: The replaced student is female
Now the probability of selecting a male from first class = 10/23
Probability that now the selected student from second class is female
=> 16/(16+7)*10/23 ( Since there are 23 students after replacements = 16 female and 7 male)
= 16/23*10/23 = 160/529
Total probability = 160+195/(529) = 355/529
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