I need help in answering these questions. Can you please show your work for each

Question

I need help in answering these questions. Can you please show your work for each part in detail? Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red=1,Green=5) or (Red=2,Green=2) etc. (a) How many total possibilities are there? (answer is 36) For the rest of the questions, we will assume that the dice are fair and that all of the possibilities in (a) are equally likely. (b) What is the probability that the sum on the two dice comes out to be 7? (Remember the answer will be a ratio, the denominator of which will be your answer in (a).) (answer is 6/36) (c) What is the probability that the sum on the two dice comes out to be 8? (answer is 5/36) (d) What is the probability that the numbers on the two dice are equal? (answer is 1/6)

Explanation / Answer

You have two dice, the POSSIBILITIES are the numbers that can be thrown with two dice, and they are all the numerals from two to twelve: Therefore there are eleven possibilities. Count them: 2-3-4-5-6-7-8-9-10-11-12 I get eleven possible outcomes, or possibilities, whether I count them backwards or fowards, and these are all the possibilities there are. UPDATE: If neither 11 nor 36 are correct then you did not explain the problem correctly. Another possibile answer is 21 but that requires a different statement of the problem, one in which (1r 3g) is the same as (3r 1g).

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