The probability of the spinner landing on the shaded part is p=1/3. The probability of it landing on an unshaded part is q=2/3 times. If you spin the spinner n = 3 times, what is the probability of it landing on the shaded part r = 2 times? Use the equation P(r) = nCr pr qn−r, where

The correct answer is 0.5.

Step-by-step explanation:

The probability of a spinner landing on the shaded part follows binomial distribution.

Equation to be used is P(r) =  × × , where n is the number of times the spinner is spun and r is the number of times the spinner falls on the shaded region.

The probability of the spinner landing on the shaded part is p = . The probability of it landing on the unshaded part is q = .

The spinner is spun n = 3 times.

We need to find the probability of it landing on the shaded part r = 2.

∴ Putting the values in the equation gives,

P(r) =  × × = 3 × × = 0.5

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