Subjects probability

Expected Nuts

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Expected Nuts


1. **State the problem:** We are given that out of recent sundaes sold, 5 had nuts and 10 did not. We want to find how many of the next 6 sundaes sold would be expected to have nuts. 2. **Understand the concept:** The expected number of sundaes with nuts in the next 6 sales can be found using the probability of a sundae having nuts based on past data. 3. **Calculate the probability:** The total sundaes sold recently is $5 + 10 = 15$. The probability a sundae has nuts is $\frac{5}{15} = \frac{1}{3}$. 4. **Use the expectation formula:** The expected number of sundaes with nuts in the next 6 is $$\text{Expected} = 6 \times \frac{1}{3} = 2.$$ 5. **Interpretation:** We expect 2 out of the next 6 sundaes sold to have nuts based on the given data. **Final answer:** 2 sundaes with nuts.