Hallie has a better chance of winning the grand prize by rolling two number cubes and hoping to get the same number on both cubes.
To calculate the probability of winning by spinning the wheel, we divide the number of sections with the desired outcome (getting a 5) by the total number of sections:
Probability of spinning a 5 = 1/6
To calculate the probability of winning by rolling two number cubes, we need to count how many possible outcomes in total there are and how many of them would result in the same number on both cubes.
There are 6 possible outcomes on each cube (numbers 1 through 6). The total number of possible outcomes when rolling two cubes is 6 x 6 = 36.
Out of these 36 outcomes, there are 6 outcomes where both cubes show the same number (1-1, 2-2, 3-3, 4-4, 5-5, 6-6).
Probability of rolling the same number on both cubes = 6/36 = 1/6
Thus, the probability of winning the grand prize is the same in both cases (1/6). However, rolling two number cubes gives Hallie more chances to win because there are more possible outcomes. Therefore, her best bet is to roll two number cubes and hope to get the same number on both.
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 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..
3 answers
can you make it way simpler and shorter
Hallie has a better chance of winning the grand prize by rolling two number cubes and hoping for the same number on both cubes. The probability of winning by rolling two number cubes is 1/6 while the probability of winning by spinning a wheel and getting a 5 is also 1/6, but rolling two number cubes gives Hallie more chances to win. So she should roll two number cubes.