1. **State the problem:** There are 180 people in a competition. The probability of winning for each person is $\frac{1}{6}$. Each winner receives a prize of 8. 2. **Find the expected number of winners:** The expected number of winners is the total number of people multiplied by the probability of winning: $$180 \times \frac{1}{6} = 30$$ 3. **Calculate the expected total prize money:** Each winner gets 8, so the expected total prize money is: $$30 \times 8 = 240$$ **Final answer:** The expected total prize money to be won is 240.