Questions: Starburst candies come in four flavors, each with their own color: Red, Orange, Yellow, and Pink. As a treat for her students, a teacher purchases a bag of Starburst candies. In the bag there are 22 red candies, 20 orange candies, 28 yellow candies, and 30 pink candies. If the teacher reaches into the bag without looking, and randomly selects a candy, what is the probability that the candy she selects will be yellow? Give your answer as a reduced fraction. 28/100 0.28 7/25 11/50

Starburst candies come in four flavors, each with their own color: Red, Orange, Yellow, and Pink. As a treat for her students, a teacher purchases a bag of Starburst candies. In the bag there are 22 red candies, 20 orange candies, 28 yellow candies, and 30 pink candies. If the teacher reaches into the bag without looking, and randomly selects a candy, what is the probability that the candy she selects will be yellow? Give your answer as a reduced fraction. 28/100 0.28 7/25 11/50
Transcript text: Question 4 1 pts Starburst candies come in four flavors, each with their own color: Red, Orange, Yellow, and Pink. As a treat for her students, a teacher purchases a bag of Starburst candies. In the bag there are 22 red candies, 20 orange candies, 28 yellow candies, and 30 pink candies. If the teacher reaches into the bag without looking, and randomly selects a candy, what is the probability that the candy she selects will be yellow? Give your answer as a reduced fraction. $\frac{28}{100}$ 0.28 $\frac{7}{25}$ $\frac{11}{50}$
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Solution

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Solution Steps

Step 1: Calculate Total Number of Candies

The total number of candies in the bag is calculated as follows:

\[ \text{Total} = 22 + 20 + 28 + 30 = 100 \]

Step 2: Calculate Probability of Picking a Yellow Candy

The probability of selecting a yellow candy is given by the ratio of yellow candies to the total number of candies:

\[ P(\text{Yellow}) = \frac{\text{Number of Yellow Candies}}{\text{Total Number of Candies}} = \frac{28}{100} = 0.28 \]

Step 3: Convert Probability to Reduced Fraction

The probability \( \frac{28}{100} \) can be simplified to its reduced fraction:

\[ \frac{28}{100} = \frac{7}{25} \]

Final Answer

The probability that the candy selected will be yellow is

\[ \boxed{\frac{7}{25}} \]

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