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(I cannot draw the Venn diagram, sorry)
25 students in a class, 3 of them have neither -> Only 22 students have at least a pet.
15 of them have a cat, 16 of them have a dog -> There are 31 - 22 = 9 students that have both a cat and a dog
So, the probabilty of a person chosen at random that has a cat and a dog is 9 : 25 = 0.36 -> 36%.