15me

1. hallie is trying to win the grand prize on a game show. should she try her luck by spinning a wheel with 6 equal sides labeled from 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 and show work

Cubes:
We know that the cubes have six sides that label 1 to 6
She just need to roll a 5 to get the prize, so
P(rolling a 5 on 6-side of dice):
1/6
Two cubes:
There 6×6=36 possible chances in two cubes
She also need to get 2 five on the both cubes to win the prize, so
P(rolling a 5 on the first cube):1/6
P(rolling a 5 on the second cubes):1/6
Lastly,the probability of rolling the same number on both cubes is 1/6×1/6=1/36.
Um..
Next,
Compare 1/6 with 1/36, and we conclude that:
1/6>1/36, so the probability of 1/6 has the greater chance to win. As a result, I would prefer she should try her luck by spinning a wheel with 6 equal sides labeled from 1 to 6 and hope she gets a 5. Hope it help!