Question
Nikki is spinning a 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
Answers
GPT 3.5
First, let's determine the probability of landing on the gray section of the spinner. The spinner has 8 total sections, with two of them being gray. Therefore, the probability of landing on a gray section is 2/8 = 1/4.
Next, let's determine the probability of rolling a sum of nine with two dice. To do this, we need to consider all the possible outcomes when rolling two dice that result in a sum of nine. These outcomes are:
(3,6), (4,5), (5,4), (6,3)
There are a total of 36 possible outcomes when rolling two dice (6 sides on each die), so the probability of rolling a sum of nine is 4/36 = 1/9.
Finally, to find the overall probability of landing on a gray section of the spinner and rolling a sum of nine with the two dice, we multiply the individual probabilities:
P(gray section) * P(sum of nine) = (1/4) * (1/9) = 1/36
Therefore, the probability that Nikki lands on a gray section of the spinner and rolls a sum of nine with the two dice is 1/36.
Next, let's determine the probability of rolling a sum of nine with two dice. To do this, we need to consider all the possible outcomes when rolling two dice that result in a sum of nine. These outcomes are:
(3,6), (4,5), (5,4), (6,3)
There are a total of 36 possible outcomes when rolling two dice (6 sides on each die), so the probability of rolling a sum of nine is 4/36 = 1/9.
Finally, to find the overall probability of landing on a gray section of the spinner and rolling a sum of nine with the two dice, we multiply the individual probabilities:
P(gray section) * P(sum of nine) = (1/4) * (1/9) = 1/36
Therefore, the probability that Nikki lands on a gray section of the spinner and rolls a sum of nine with the two dice is 1/36.
Hi
simplify into a paragraph