trigonometry probability problem, please show works

Question

You roll a pair of dice – one red, the other black.

a. How many outcomes are in the sample space?

b. What is the probability that you roll a red 5 and a black 6?

c. What is the probability that the sum of the two dice is at least 4?

d. What is the probability that the sum of the two dice is at most 5?

e. What is the probability that the sum is 14?

please show works

Answer 1

Check out the video and message me for additional questions.

Answer 2

The sample space contains 36 possible outcomes and the can be listed in a 6x6 table showing one color across the top and one down the left side.

The intersection of each row and column is one outcome in the sample space.

The way to answer the questions is to write the sample space down and then count the outcomes which are required in each problem...then divide by 36.

For example the answer to part 1 is 1/36 since there is only one outcome satisfying R5 and B6.