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You select a marble without looking and then put it back. If you do this 55 times, what is the best prediction possible for the number of times you will pick a marble that is not pink?\newline\newline____\_\_\_\_ times

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Full solution

Q. You select a marble without looking and then put it back. If you do this 55 times, what is the best prediction possible for the number of times you will pick a marble that is not pink?\newline\newline____\_\_\_\_ times
  1. Determine Total Marbles: Step 11: Determine the total number of marbles and the number of pink marbles.\newlineAssume there are 2020 marbles in total, with 55 being pink and 1515 not pink.\newlineCalculation: Total marbles =20= 20, Pink marbles =5= 5, Not pink marbles =15= 15.
  2. Calculate Probability: Step 22: Calculate the probability of picking a marble that is not pink.\newlineProbability (Not pink) = Number of not pink marbles / Total number of marbles.\newlineCalculation: Probability (Not pink) = 1520=34\frac{15}{20} = \frac{3}{4}.
  3. Predict Marble Picks: Step 33: Predict the number of times a not pink marble is picked in 55 trials.\newlineExpected number of times = Probability (Not pink) ×\times Number of trials.\newlineCalculation: Expected number = 34×5=3.75\frac{3}{4} \times 5 = 3.75.\newlineSince you can't pick a marble 3.753.75 times, round to the nearest whole number, which is 44.

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