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.