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?

A More than 10% of the produced candies must be green.

B 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.

C 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.

D The proportion of produced candies that are brown is 0.015.

E Less than 5% of the produced candies must be green.

Answer 1

Yellow 20%
Red 20%
Orange 20%
Brown 15%
Blue 15%
Green 10%

Statement A is incorrect as there are exactly 10% of the produced candies are green.
Statement B is incorrect as there are 35% chance that candy will be yellow or brown.
Statement C is correct. There are 40% chances that the candy is either red or orange, so there are 60% chance that candy will not be red or orange.
Statement D is incorrect as the proportion of produced candies that are brown will be 0.15
Statement E is incorrect as there are exactly 10% of the produced candies are green