Question

M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Suppose you have a bag of M&M’s and you choose one candy at random.

Color	Purple	Yellow	Red	Orange	Green	Blue	Brown
Percentage	21%	17%	19%	9%	8%	6%	20%

a.) Find the P (purple or green candy).

b.) Find the P (not red).

c.) Find the P (brown).

Answer 1

M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows.

Color         Purple Yellow Red Orange Green Blue Brown

Percentage    21%   17%    19%    9% 8%      6%.    20%

Solution:

a) Find P(purple or green candy ) :

From the table,

P(purple candy) = 20% = 0.21

P(green candy) = 8% = 0.08

P(purple or green candy) = P(purple candy) + P(green candy)

                                              = 0.21 + 0.08

                                              = 0.29

(b) Find P(not red ).:

P(red candy) = 19% = 0.19

P(not red candy) = 1 - P(red candy)

                              = 1 - 0.19

                              = 0.81

(c) Find P(brown candy):

P(brown candy) = 20% = 0.20

Therefore,

P(purple or green candy) = 0.29

P(not red candy) = 0.81

P(brown candy) = 0.2