Jag of plain M&M candies and you choose one candy at r (a) Find P(green candy or blue candy). Are these outcomes mutually exclusive? Why? O No. Choosing a green and blue M&M is possible. O No. Choosing a green and blue M&M is not possible. O Yes. Choosing a green and blue M&M is possible. Yes. Choosing a green and blue M&M is not possible. (b) Find P(yellow candy or red candy). Are these outcomes mutually exclusive? Why? O Yes. Choosing a yellow and red M&M is possible. O Yes. Choosing a yellow and red M&M is not possible. No. Choosing a yellow and red M&M is not possible. O No. Choosing a yellow and red M&M is possible.

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### Distribution of Plain M&M Candy Colors

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

- **Purple**: 21%
- **Yellow**: 17%
- **Red**: 23%
- **Orange**: 10%
- **Green**: 9%
- **Blue**: 8%
- **Brown**: 12%

---

### Probability Exercises

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

#### (a) Probability of a Green or Blue Candy

Find \(P(\text{green candy or blue candy})\).

**Question**: Are these outcomes mutually exclusive? Why?

- \( \bigcirc \) No. Choosing a green and blue M&M is possible.
- \( \bigcirc \) No. Choosing a green and blue M&M is not possible.
- \( \bigcirc \) Yes. Choosing a green and blue M&M is possible.
- \( \bigcirc \) Yes. Choosing a green and blue M&M is not possible.

#### (b) Probability of a Yellow or Red Candy

Find \(P(\text{yellow candy or red candy})\).

**Question**: Are these outcomes mutually exclusive? Why?

- \( \bigcirc \) Yes. Choosing a yellow and red M&M is possible.
- \( \bigcirc \) Yes. Choosing a yellow and red M&M is not possible.
- \( \bigcirc \) No. Choosing a yellow and red M&M is not possible.
- \( \bigcirc \) No. Choosing a yellow and red M&M is possible.

#### (c) Probability of Not Purple Candy

Find \(P(\text{not purple candy})\).

---

This exercise is designed to help students understand fundamental probability concepts, such as identifying mutually exclusive events and calculating probabilities from given percentages.
Transcribed Image Text:### Distribution of Plain M&M Candy Colors According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows: - **Purple**: 21% - **Yellow**: 17% - **Red**: 23% - **Orange**: 10% - **Green**: 9% - **Blue**: 8% - **Brown**: 12% --- ### Probability Exercises Suppose you have a large bag of plain M&M candies and you choose one candy at random. #### (a) Probability of a Green or Blue Candy Find \(P(\text{green candy or blue candy})\). **Question**: Are these outcomes mutually exclusive? Why? - \( \bigcirc \) No. Choosing a green and blue M&M is possible. - \( \bigcirc \) No. Choosing a green and blue M&M is not possible. - \( \bigcirc \) Yes. Choosing a green and blue M&M is possible. - \( \bigcirc \) Yes. Choosing a green and blue M&M is not possible. #### (b) Probability of a Yellow or Red Candy Find \(P(\text{yellow candy or red candy})\). **Question**: Are these outcomes mutually exclusive? Why? - \( \bigcirc \) Yes. Choosing a yellow and red M&M is possible. - \( \bigcirc \) Yes. Choosing a yellow and red M&M is not possible. - \( \bigcirc \) No. Choosing a yellow and red M&M is not possible. - \( \bigcirc \) No. Choosing a yellow and red M&M is possible. #### (c) Probability of Not Purple Candy Find \(P(\text{not purple candy})\). --- This exercise is designed to help students understand fundamental probability concepts, such as identifying mutually exclusive events and calculating probabilities from given percentages.
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