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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?

Ask by Colon Warren. in the United States
Mar 31,2025

Solución de inteligencia artificial de Upstudy

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The probability is 0.4.

Solución

  1. First, calculate the total number of lollipops in the bag:
  2. Next, find the number of lollipops that are either cherry flavored or watermelon flavored:
  3. The probability of selecting a cherry or watermelon lollipop is the ratio:
  4. Simplify the fraction:
  5. Finally, convert the fraction to decimal form:
Thus, the probability in decimal form is .

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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
Favorable outcomes = 8 + 14 = 22.
Now we can calculate the probability:
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.

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