The probability of winning the grand prize by spinning the wheel and landing on a 5 is 1/6. This is because there is only one section labeled with 5 among the six equal sections.
The probability of winning the grand prize by rolling two number cubes and getting the same number on both cubes depends on the number of possible outcomes. When rolling two dice, there are 36 possible outcomes, each represented as an ordered pair (n, m), where n and m are numbers between 1 and 6 representing the outcome of each die. Out of these 36 possible outcomes, there are 6 outcomes where the two numbers are the same: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6). So, the probability of rolling the same number on both dice is:
6 (number of favorable outcomes) / 36 (total number of outcomes) = 1/6
Therefore, the probability of winning the grand prize by rolling two number cubes and getting the same number on both cubes is also 1/6.
So, both options have the same probability of winning the grand prize, which is 1/6. Therefore, it doesn't matter whether Haylee spins the wheel or rolls two number cubes as the probability of winning is the same.