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Aubrey's Pie Shop recently sold 66 cherry pies and 1414 other pies. What is the experimental probability that the next pie sold will be a cherry pie? Simplify your answer and write it as a fraction or whole number.\newlineP(cherry pie)=___P(\text{cherry pie}) = \_\_\_

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Q. Aubrey's Pie Shop recently sold 66 cherry pies and 1414 other pies. What is the experimental probability that the next pie sold will be a cherry pie? Simplify your answer and write it as a fraction or whole number.\newlineP(cherry pie)=___P(\text{cherry pie}) = \_\_\_
  1. Define Event and Trials: To find the experimental probability of an event, we divide the number of times the event has occurred by the total number of trials. In this case, the event is selling a cherry pie, and the trials are the total pies sold.
  2. Calculate Number of Pies: The number of cherry pies sold is 66. The total number of pies sold is the sum of cherry pies and other pies, which is 66 cherry pies ++ 1414 other pies.
  3. Calculate Total Pies Sold: Calculating the total number of pies sold: 6+14=206 + 14 = 20 pies.
  4. Calculate Experimental Probability: Now, we calculate the experimental probability of selling a cherry pie as the number of cherry pies sold divided by the total number of pies sold: P(cherry pie)=620P(\text{cherry pie}) = \frac{6}{20}.
  5. Simplify Fraction: Simplify the fraction 620\frac{6}{20} by dividing both the numerator and the denominator by their greatest common divisor, which is 22: (6÷220÷2)=310(\frac{6 \div 2}{20 \div 2}) = \frac{3}{10}.

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