This comes by way of @NCTM daily problem tweets. It is a great investigation for probability. By constructing outcome grids to determine the all the possible outcomes vs all the desirable outcomes for each of the situations, students can then compare fractions using benchmarks and concrete materials or drawings to determine which is more probable.
When three 6-sided fair dice are rolled, which type of sum is more likely: a multiple of 3; one more than a multiple of 3; or two more than a multiple of 3?
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