hola!
Given: 68% own dogs
→ 68% of the time the first person you pick will own a dog.
P (First person owns dogs) = 68/100 = 0.68
→ 67% of those 67% of the time the second person you pick will own a dog.
P (Second person owns dogs) = 68/100 = 0.68
Thus,
→ P (both owns dogs) = (0.68) × (0.68) = 0.4624
hope it helps!