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. suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? explain.

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.

Therefore, the answer is less than 34 and the explanation is above.

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