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M&Ms; are blended in a ratio of 11 percent brown, 11 percent yellow, 14 percent

ID: 3177107 • Letter: M

Question

M&Ms; are blended in a ratio of 11 percent brown, 11 percent yellow, 14 percent red, 22 percent blue, 22 percent orange, and 20 percent green. Suppose you choose a sample of two M&Ms; at random from a bag. How many elements are there in the sample space, assuming the order in which the M&Ms; are drawn matters? What is the probability that both are brown? (Round your answer to 4 decimal places.) What is the probability that both are blue? (Round your answer to 4 decimal places.) What is the probability that both are green? (Round your answer to 4 decimal places.) What is the probability that the first M&M; is brown and the second is green? (Round your answer to 4 decimal places.)

Explanation / Answer

A) Number of elements in sample space = 6x6 = 36

B) P(both are brown) = 0.11x0.11 = 0.0121

C) P(both are blue) = 0.0484

D) P(both are green) = 0.2x0.2= 0.0400

E) P(first is brown and second is green) = 0.11x0.2= 0.0220