Robert spins the spinner and rolls a standard number cube. Find the probability that the spinner will stop on purple and the cube will show a six. The spinner has six equal slices, 1 purple, 3 green, 1 yellow, 1 red.
if you are taking LUOA it is none of these
what if it is a fill in the blank question on LUOA?
Its 1/18 for luoa
prob(a 6) = 1/6
prob( purple) = 1/6
prob(as stated) = (1/6)(1/6) = 1/36
To find the probability of the spinner landing on purple and the cube showing a six, we need to determine the probability of each event separately and then multiply them together.
Step 1: Finding the probability of the spinner stopping on purple.
The spinner has a total of six slices, and only one of them is purple. Therefore, the probability of the spinner landing on purple is 1/6.
Step 2: Finding the probability of the cube showing a six.
Since the number cube is standard and has six sides numbered 1 to 6, the probability of rolling a six is 1/6.
Step 3: Multiplying the probabilities.
To find the overall probability, we multiply the probability of spinning purple (1/6) by the probability of rolling a six (1/6):
(1/6) * (1/6) = 1/36
Therefore, the probability that the spinner will stop on purple and the cube will show a six is 1/36.