Question

- The spinner shown is spun 4 times. What is the probability that you will spin gray at least 2 times?​

Answer 1

26.17%

Explanation:

P(Grey) = 1/4

P(Grey at least 2 times in 4) = 1 - P(no Grey in 4) - P(1 Grey in 4)

P(no Grey in 4) = 4C0 * 3/4 * 3/4 * 3/4 * 3/4 = 81/256

P(1 Grey in 4) = 4C1 * 1/4 * 3/4 * 3/4 * 3/4 = 27/64

P(Grey at least 2 times in 4) = 1 - 81/256 - 27/64 = (256-81-108)/256=67/256=26.17%