Question

In a board game, you must roll two 6-sided cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
• Make a list of all the different possible outcomes when two number cubes are rolled

• what fraction of the possible outcomes is favorable?

Answer 1

Answer:

The answer is less than 34.

The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.

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