1. **State the problem:** A salesperson has a 65% chance of selling a computer to a customer. We want to find the probability that all three customers will buy computers when the salesperson talks to three customers before lunch. 2. **Formula used:** When events are independent, the probability that all events occur is the product of their individual probabilities. 3. **Apply the formula:** Let $p = 0.65$ be the probability of selling to one customer. The probability all three buy is $$p^3 = 0.65 \times 0.65 \times 0.65$$ 4. **Calculate:** $$0.65^3 = 0.65 \times 0.65 \times 0.65 = 0.274625$$ 5. **Round the answer:** To at least four decimal places, the probability is $$0.2746$$ **Final answer:** The probability that all three customers buy computers is **0.2746**.