Question

Plain M&M's candies come in six colors: yellow, red, orange, brown, blue, and green. The makers of M&M's say that 20% of the produced candies are yellow, 20% are red, 20% are orange, 15% are brown, 15% are blue, and the rest of the produced candies are green. Given what you know about probability and probability models, which one of the following statements is correct? The proportion of produced candies that are brown is 0.015. If we randomly select one candy at random from all plain M&M's that are produced, there is a 5% chance that candy will be yellow or brown. More than 10% of the produced candies must be green. If we randomly select one candy at random from all plain M&M's that are produced, there is a 60% chance that candy will not be red or orange. Less than 5% of the produced candies must be green.

Answer 1

Proportion of brown candies = 0.15

P(yellow or brown) = 0.20+0.15 = 0.35

Proportion of green = 1 - (0.20+0.20+0.20+0.15+0.15) = 0.10

P(red or orange) = 0.20+0.20 = 0.40

P(not red or orange) = 1 - 0.40 = 0.60

Correct statement is:

If we randomly select one candy at random from all plain M&M's that are produced, there is a 60% chance that candy will not be red or orange.