To calculate the cumulative probability of selling Chocolate Cream filled and Strawberry donuts, we first need the total number of donuts purchased. We can do this by summing up the number of each type sold:
- Chocolate Cream filled: 2
- Strawberry: 1
- Kale frosted: 10
- Blueberry: 5
- Cream filled surprise: 10
Now, we can calculate the total:
\[ \text{Total donuts purchased} = 2 + 1 + 10 + 5 + 10 = 28 \]
Next, we will find the probabilities for both Chocolate Cream filled and Strawberry donuts:
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Probability of selling Chocolate Cream filled donuts: \[ P(\text{Chocolate Cream filled}) = \frac{2}{28} = \frac{1}{14} \approx 0.0714 \]
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Probability of selling Strawberry donuts: \[ P(\text{Strawberry}) = \frac{1}{28} \approx 0.0357 \]
Now, to find the cumulative probability of selling both Chocolate Cream filled and Strawberry donuts, we simply add these probabilities together:
\[ P(\text{Chocolate Cream filled or Strawberry}) = P(\text{Chocolate Cream filled}) + P(\text{Strawberry}) = \frac{1}{14} + \frac{1}{28} \]
To add these fractions, we can find a common denominator, which is 28:
\[ \frac{1}{14} = \frac{2}{28} \] \[ P(\text{Chocolate Cream filled or Strawberry}) = \frac{2}{28} + \frac{1}{28} = \frac{3}{28} \]
Thus, the cumulative probability of selling Chocolate Cream filled and Strawberry donuts is:
\[ \frac{3}{28} \approx 0.1071 \]
So, the cumulative probability is approximately 0.1071 or 10.71%.