Nikki is spending the spinner and rolling two dice what is the probability that she lands on a gray section of the spinner shown and rolls a sum of nine with the two dice show all of your work

Answer 1

First, let's determine the probability of landing on a gray section of the spinner.

There are a total of 12 sections on the spinner, out of which 6 are gray. Therefore, the probability of landing on a gray section is 6/12, which simplifies to 1/2 or 0.5.

Next, let's determine the probability of rolling a sum of nine with two dice. To calculate this, we need to determine the total number of possible outcomes (36) when rolling two six-sided dice.

There are a total of 4 different ways to get a sum of nine with two dice:
- (3, 6) or (6, 3)
- (4, 5) or (5, 4)

Therefore, the probability of rolling a sum of nine with two dice is 4/36, which simplifies to 1/9 or approximately 0.111.

To find the probability of both events happening together (landing on a gray section and rolling a sum of nine), we multiply the individual probabilities:
0.5 (probability of landing on a gray section) * 0.111 (probability of rolling a sum of nine) = 0.0555

Therefore, the probability that Nikki lands on a gray section of the spinner and rolls a sum of nine with the two dice is approximately 0.0555 or 5.55%.