Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain.

I think that they are equal and both have the probability of 1/6 but can't figure out how to explain it.

3 answers

first way p = 1/6
second way
the probability of getting some number the first time is one and the probability of getting that same number the second time is 1/6
1 * 1/6 = 1/6
Talk first about the spinner, then about the numbered cubes : )\
The spinner...
The number 5 occurs once on the spinner, so the probability is 1 in 6 chance of landing on the 5.
The probability is 1/6

The Pair of Dice...
So six of one, half dozen of the other

that's the answer