Question

In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.

A) Make a list of all the different possible outcomes when two number cubes are rolled.

B) What fraction of the possible outcomes is favorable?

C) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain

Answer 1

A) all the possible outcomes are as follows:

1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

4,1 4,2 4,3 4,4 4,5 4,6

5,1 5,2 5,3 5,4 5,5 5,6

6,1 6,2 6,3 6,4 6,5 6,6

B) There are 11 favorable outcomes and 36 total outcomes. This means that the fraction of favorable outcomes over total outcomes is, 11/36.

I dont know c thats why i came to this question but hope this helps.