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Jade buys a bag of cookies that contains 7 chocolate chip cookies, 4 peanut butter cookies, 9
sugar cookies and 4 oatmeal cookies.
What is the probability that Jade reaches in the bag and randomly selects a sugar cookie from
the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie?
Write the probability as a decimal rounded to two decimal places.

Ask by Coleman Mckenzie. in the United States
Mar 31,2025

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The probability is 0.07.

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Extra Insights

To find the probability that Jade selects a sugar cookie first and then an oatmeal cookie, we start by determining the total number of cookies in the bag.
Total cookies = 7 chocolate chip + 4 peanut butter + 9 sugar + 4 oatmeal = 24 cookies.
  1. Probability of selecting a sugar cookie first:
    The probability of picking a sugar cookie is the number of sugar cookies divided by the total number of cookies:
  2. After eating the sugar cookie, the total number of cookies is now 23, and there are still 4 oatmeal cookies.
  3. Probability of selecting an oatmeal cookie next:
    The probability of picking an oatmeal cookie after eating the sugar cookie is:
  4. Combined probability:
    Now, we multiply the probabilities of both events to get the overall probability:
  5. Rounded to two decimal places:
    Therefore, the probability that Jade selects a sugar cookie first and then an oatmeal cookie is approximately 0.07.

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