A large bag of M&M's is used to determine the probability that a randomly selected candy will have a particular color. The probabilities for the colors are given below. Determine the probability that a randomly selected candy is yellow. Color Blue Brown Green Red Yellow Orange Probability 0.13 0.19 0.06 0.14 ? 0.02

A large bag of M&M's is used to determine the probability that a randomly selected candy will have a particular color. The probabilities for the colors are given below. Determine the probability that a randomly selected candy is yellow. Color Blue Brown Green Red Yellow Orange Probability 0.13 0.19 0.06 0.14 ? 0.02

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...

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### Determining the Probability of Colored M&M's in a Bag

A large bag of M&M’s is used to determine the probability that a randomly selected candy will have a particular color. The probabilities for the colors are given below. Determine the probability that a randomly selected candy is yellow.

#### Table of Probabilities

| Color | Blue | Brown | Green | Red | Yellow | Orange |
|-------|------|-------|-------|-----|--------|--------|
| Probability | 0.13 | 0.19 | 0.06 | 0.14 | ? | 0.02 |

The probabilities should sum up to 1. We can find the missing probability for yellow by adding up the known probabilities and subtracting their sum from 1.

Calculations:
\[ \text{Total Probability} = 0.13 + 0.19 + 0.06 + 0.14 + 0.02 = 0.54 \]
\[ \text{Probability (Yellow)} = 1 - 0.54 = 0.46 \]

### Conclusion
The probability that a randomly selected M&M candy from the bag is yellow is $ \boxed{0.46} $.

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