Question

Jacob has 10 rap, 18 rock, 8 country, and 4 pop CDs in his music collection. Two are selected at random. Find P(1 rap and 1 rock).

Answer 1

I got you

Answer 2

bro first you got to walk with me

Answer 3

You can get 1 rap and 1 rock in two ways
E1 = rap on 1st rock on 2nd
E2 = rock on 1st rap on 2nd

$$
\text{P(1 rap and 1 rock)} = P(E1) + P(E2) \\
=\cfrac{10}{50}\times\cfrac{18}{49}+\cfrac{18}{50}\times\cfrac{10}{49}\\
=\cfrac{2\times 180}{50\times 49}
$$