Math probability

Question

the numbers 12 through 20 are put in one bag all even numbers 4 through 20 are put in another bag when you pick one number from each bag what is the probability that both numbers will be different

Answer 1

5 of 9 numbers are the same in each bag

12, 14, 16, 18 and 20

4 of the 9 are different

13, 15, 17, and 19 in one bag

4, 6, 8, and 10 in the other bag

4/9 x 4/9 = 16/81= about 0.19753

= about 20% chance