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Given that a bag of skittles has 10 blue candies, 14 orange candies, 12 yellow, 16 red, and 6 green candies, find the following probabilities. Enter all answers as reduced fractions. Do not use any spaces in your answers.

Options:
A. 5/33
B. 1/3
C. 16/47
D. 12/25

1 Answer

3 votes

Final answer:

To find the probabilities, we use the formula Number of favorable outcomes / Total number of possible outcomes. We can calculate P(B), P(G), P(P), P(R), P(Y), and P(O) as fractions.

Step-by-step explanation:

To find the probability of an event, we divide the number of favorable outcomes by the total number of possible outcomes.

1. P(B) = Number of blue jelly beans / Total number of jelly beans = 26/150 = 13/75

2. P(G) = Number of green jelly beans / Total number of jelly beans = 20/150 = 2/15

3. P(P) = Number of purple jelly beans / Total number of jelly beans = 28/150 = 14/75

4. P(R) = Number of red jelly beans / Total number of jelly beans = 22/150 = 11/75

5. P(Y) = Number of yellow jelly beans / Total number of jelly beans = 38/150 = 19/75

6. P(O) = Number of orange jelly beans / Total number of jelly beans = (150 - (26+20+28+22+38))/150 = 47/75

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