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In a large bag of candy, each of the 5 colors (red, orange, yellow, blue, and green) occurs with the same probability. You reach in and select 1 candy.

Find P(Yellow, blue, or green).

User Pixeline
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2 Answers

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Final answer:

To calculate P(Yellow, blue, or green), we sum the individual probabilities of selecting each color, which are all 1/5, giving us 3/5.

Step-by-step explanation:

The student is interested in finding the probability of selecting a yellow, blue, or green candy from a large bag where each color has an equal chance of being chosen. Since there are five colors in the bag (red, orange, yellow, blue, and green), and each is equally likely, the probability of choosing one of these three specific colors is the sum of their probabilities.

The probability of choosing a yellow candy is 1/5, the probability of choosing a blue candy is also 1/5, and the probability of choosing a green candy is 1/5. To find the probability of choosing a yellow, blue, or green candy, we can add these probabilities together because the events are mutually exclusive (you can't draw two candies at once).

So, P(Yellow, blue, or green) = P(Yellow) + P(Blue) + P(Green) = 1/5 + 1/5 + 1/5 = 3/5.

User Carloabelli
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3 votes
are you sure this is a high school problem?
User Abdalrahman Shatou
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