Question
A bag contains flavored lollipops. A lollipop will be randomly selected from the bag.
- 17 lollipops are grape flavored
- 8 lollipops are cherry flavored
- 14 lollipops are watermelon flavored
- 16 lollipops are strawberry flavored
What is the probability in decimal form that the selected lollipop will be either cherry flavored
or watermelon flavored?
What is the probability in decimal form that the selected lollipop will be either cherry flavored
or watermelon flavored?
Ask by Colon Warren. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability is 0.4.
Solution
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The Deep Dive
To find the probability of selecting either a cherry or watermelon flavored lollipop, first, we need to determine the total number of lollipops in the bag.
Adding them up:
- Grape: 17
- Cherry: 8
- Watermelon: 14
- Strawberry: 16
Total = 17 + 8 + 14 + 16 = 55 lollipops.
Now, we calculate the number of favorable outcomes (cherry or watermelon flavored):
Cherry = 8
Watermelon = 14
Cherry = 8
Watermelon = 14
Favorable outcomes = 8 + 14 = 22.
Now we can calculate the probability:
Probability = Favorable Outcomes / Total Outcomes = 22 / 55 = 0.4.
Probability = Favorable Outcomes / Total Outcomes = 22 / 55 = 0.4.
So, the probability that the selected lollipop will be either cherry flavored or watermelon flavored is 0.4 in decimal form.
