Find total number of sodas: 6 + 8 + 6 = 20
There are 6 lemon lime sodas. The probability of picking lemon lime would be 6/20, this reduces to 3/10.
After picking lemon lime there would be 19 sodas left. 6 are orange. The probability of picking orange would be 6/19
To find the probability of picking both, multiply the probability of each by each other:
3/10 x 6/19 = (3 x 6) / (10 x 19) = 18/190 which reduces to 9/95
The answer is 9/95