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 17% 22% 21% 7% 8% 10% 15%

Suppose you have a large bag of plain M&M candies and you choose one candy at random.

(a) Find P(green candy or blue candy).

__________

Are these outcomes mutually exclusive? Why?

Yes. Choosing a green and blue M&M is possible.

No. Choosing a green and blue M&M is not possible.

Yes. Choosing a green and blue M&M is not possible.

No. Choosing a green and blue M&M is possible.

(b) Find P(yellow candy or red candy).

_________

Are these outcomes mutually exclusive? Why?

Yes. Choosing a yellow and red M&M is possible.

Yes. Choosing a yellow and red M&M is not possible.

No. Choosing a yellow and red M&M is possible.

No. Choosing a yellow and red M&M is not possible.

(c) Find P(not purple candy).

__________

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A national park is famous for its beautiful desert landscape and its many natural rock formations. The following table is based on information gathered by a park ranger of all rock formations of at least 3 feet. The height of the rock formation is rounded to the nearest foot.

Height of rock formation, feet 3-9 10-29 30-49 50-74 75 and higher

Number of rock formations in park 118 80 23 24 12

For a rock formation chosen at random from this park, use the preceding information to estimate the probability that the height of the rock formation is as follows. (Round your answers to two decimal places.)

(a) 3 to 9 feet

(b) 30 feet or taller

(c) 3 to 49 feet

(d) 10 to 74 feet

(e) 75 feet or taller

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A recent study gave the information shown in the table about ages of children receiving toys. The percentages represent all toys sold.

Age (years) Percentage of Toys

2 and under 20%

3-5 17%

6-9 29%

10-12 13%

13 and over 21%

What is the probability that a toy is purchased for someone in the following age ranges?

(a) 6 years old or older

%

(b) 12 years old or younger

%

(c) between 6 and 12 years old

%

(d) between 3 and 9 years old

%

A child between 10 and 12 years old looks at this probability distribution and asks, "Why are people more likely to buy toys for kids older than I am (13 and over) than for kids in my age group (10-12)?" How would you respond?

The 13-and-older category may include children up to 17 or 18 years old. This is a larger category. The 13-and-older category may include children up to 17 or 18 years old. This is a smaller category.