According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
(a) Compute the probability that a randomly selected peanut M&M is not yellow.
(b) Compute the probability that a randomly selected peanut M&M is orange or yellow.
(c) Compute the probability that three randomly selected peanut M&M's are all red.
(d) If you randomly select two peanut M&M's, compute that probability that neither of them are red.
(e) If you randomly select two peanut M&M's, compute that probability that at least one of them is red.

(a)0.85

(b)0.38

(c)0.002

(d)0.986

(e)0.12

Step-by-step explanation:

Brown = 12%,

Yellow = 15%

Red = 12%

Blue = 23%

Orange= 23%

Green = 15%

(a) Probability that a randomly selected peanut M&M is not yellow.

P(Yellow) = 15/100 =0.15

Therefore: P(Not Yellow)

=1-0.15 =0.85

(b) Probability that a randomly selected peanut M&M is orange or yellow.

P(Orange OR Yellow)

= P(Orange)+P(Yellow)

=23/100 + 15/100

=38/100 =0.38

(c) Probability that three randomly selected peanut M&M's are all red.

P(Red and Red and Red) = 12/100 X 12/100 X 12/100 =0.001728 = 0.002

(d) Probability that neither of them are red.

P(neither of them are red)= 1- P(both are red) = 1-(12/100 X 12/100)

= 1-0.0144 = 0.9856 = 0.986

(e)Probability that at least one of them is red.

P(RB or RY or RR or Rb or RO or RG)

=(0.12 X 0.12)+(0.12 X 0.15)+(0.12 X 0.12)+(0.12 X 0.23)+(0.12 X 0.23)+ (0.12 X 0.15)

= 0.12

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.