For the spinner above, the probability of landing on black is 1/2 and the probability of landing on red is 1/3 . Suppose it is spun three times. What is the probability it will land on white all three times?

The probability of it landing on white three consecutive times is 1/216

Step-by-step explanation:

In order to solve this problem we first need to calculate the probability of the spinner landing on white, we know that the sum of all three probablities must be equal to 1, so we subtract the given probabilities from 1 and that will be the probability of it landing on white three times. We have:

white = 1 - 1/3 - 1/2 = 1 - (2 + 3)/6 = 6/6 - 5/6 = 1/6

The probability of the spinner landing on white all three times is given by the probability of it landing on white one time powered by the number of times that it has to land on that collor. So we have:

white three = white^(3) = (1/6)^3 = 1/216