Two fair, six-sided dice are rolled. What is the probability that one die shows a 1 and the other die shows a 6?

Question

Two fair, six-sided dice are rolled. What is the probability that one die shows a 1 and the other die shows a 6?

Answer 1

For two fair dice (one colored red and one colored blue), the chance of

Die-Blue coming up 1 and Die-Red coming up 6 is given by "1 out of 6"

times "1 out of 6" or 1/36 (approximately 0.028).

Note that Die-Red showing 1 and Die-Blue showing 6 is also a possible

outcome, in which case one would adjust the answer to 2 times 1/36 or

2/36 equal to 1/18 (approximately 0.056).