The conversation between human and AI assistant.
If we roll a fair, six sided die twice, given the sum is at least 6, what is the chance the sum is exactly 6?
How do we calculate that?
To find the probability of rolling a sum of 7, we can list all of the possible combinations of dice rolls that add up to 7: (1,6), (2,5), (3,4), and (4,3), (5,2), (6,1). The probability of rolling each of these combinations is 1/36, so the total probability of rolling a sum of 7 is 6/36 or 1/6. Similarly, the probability of rolling a sum of 8 is 5/36.