Question

venth grade

II.5 Make predictions using experimental probability
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Nicole's Pie Shop recently sold 26 pies, of which 13 were chocolate cream pies. Considering this data, how many of the next 54 pies sold should you expect to be chocolate cream pies?
chocolate cream pies

Answer 1

To determine how many of the next 54 pies sold by Nicole's Pie Shop are expected to be chocolate cream pies based on experimental probability, you can use the following steps:

1. **Calculate the experimental probability of selling chocolate cream pies:**
- Total pies sold = 26
- Chocolate cream pies sold = 13
- Probability (P) of selling a chocolate cream pie = Number of chocolate cream pies / Total pies sold
- \( P = \frac{13}{26} = \frac{1}{2} \) or 0.5

2. **Use the probability to predict the number of chocolate cream pies in the next 54 pies:**
- Expected number of chocolate cream pies = Total pies in the next sale × Probability of chocolate cream pies
- Expected number = 54 × P
- Expected number = 54 × 0.5 = 27

Thus, you should expect approximately **27 chocolate cream pies** out of the next 54 pies sold.