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To solve the second part of the question, we will calculate the expected value of each raffle ticket based on the given probabilities and prize amounts. Here's how to compute the expected value:

### Step-by-Step Calculation:
1. **First Prize:**
   - Probability: $\frac{2}{268}$
   - Prize: \$134
   - Contribution to Expected Value: $\frac{2}{268} \times 134 = 1.00$

2. **Second Prize:**
   - Probability: $\frac{3}{268}$
   - Prize: \$44
   - Contribution to Expected Value: $\frac{3}{268} \times 44 = 0.4925$

3. **Third Prize:**
   - Probability: $\frac{7}{268}$
   - Prize: \$19
   - Contribution to Expected Value: $\frac{7}{268} \times 19 = 0.4963$

4. **No Prize:**
   - Probability: $1 - \left(\frac{2 + 3 + 7}{268}\right) = \frac{256}{268}$
   - Prize: \$0
   - Contribution to Expected Value: $\frac{256}{268} \times 0 = 0$

### Total Expected Value:
Now we sum the contributions from each scenario to get the expected value:
\[
\text{Expected Value} = 1.00 + 0.4925 + 0.4963 = 1.9888 \approx 1.99
\]

Thus, the expected value for each ticket is approximately **$1.99**.

Would you like further details or explanations on any part of this? 

Here are some related questions you can explore:
1. What would happen to the expected value if more prizes were added?
2. How does changing the number of tickets affect the probability and expected value?
3. What is the impact of the ticket price on profitability?
4. How would you calculate the breakeven point for this raffle?
5. How can you apply this type of expected value analysis in other scenarios?

**Tip:** In probability-based games like raffles, the expected value helps determine whether a ticket is worth buying based on potential winnings and likelihood.

What is the expected value for each of these tickets bought?

Learn how to calculate the expected value of a fixed raffle ticket with different prize amounts using probabilities. This problem covers core mathematical concepts such as probability and expected value, and includes step-by-step calculations for raffle tickets with prizes of $134, $44, and $19.

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