Question

if you spell Paris and each letter is on a different card that is replaced when you put it back in the hat what is P(r, then a vowel)?

Answer 1

So the problem is :
Pull out 2 letters out of 5 distinct letters {P, A, R, I, S} from a hat with replacement. Need P(R,vowel)
P(R)=1/5
P(vowel)=2/5
With replacement, the two draws are independent, so multiplication rule applies.

P(R,vowel)=(1/5)*(2/5)=2/25