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Let's analyze the problem shown in the image.

The problem gives rural speed limits for some states, distributed as follows:
- 60 mph: 1 state
- 65 mph: 12 states
- 70 mph: 13 states
- 75 mph: 14 states

There are a total of \( 1 + 12 + 13 + 14 = 40 \) states.

**Part 1 (a):** The probability of choosing a state with a speed limit of 60 mph or 65 mph is already calculated as:

\[
P(60 \text{ mph or } 65 \text{ mph}) = \frac{13}{40}
\]

This matches the sum of the number of states with 60 mph (1 state) and 65 mph (12 states), giving \( P = \frac{13}{40} \).

---

**Part 2 (b):** The probability of selecting a state with a speed limit greater than 70 mph (i.e., 75 mph) is calculated as:

\[
P(\text{greater than 70 mph}) = \frac{\text{Number of states with 75 mph}}{\text{Total number of states}} = \frac{14}{40}
\]

Simplifying:

\[
P(\text{greater than 70 mph}) = \frac{7}{20}
\]

This is the probability you're looking for.

Would you like more details on any specific part of the problem or further explanation?

### Additional Related Questions:
1. What is the probability of selecting a state with a speed limit of 70 mph or less?
2. How would the probability change if a new state adopted a speed limit of 70 mph?
3. What is the probability of selecting a state with a speed limit of 65 mph or less?
4. How do we calculate the complement probability of selecting a state with a speed limit less than 60 mph?
5. What is the probability of choosing a state with a speed limit of either 70 mph or 75 mph?

**Tip:** Always simplify probabilities whenever possible for easier comparison or calculation.

Choose one state at random. Find the probability that the state's rural speed limit is either 60 mph, 65 mph, or greater than 70 mph.

This problem explores the probability of rural speed limits in selected states. It covers key concepts such as probability calculation, simplifying fractions, and applying the basic probability theorem. Learn how to calculate probabilities with examples like selecting a state with speed limits of 60 mph, 65 mph, or greater than 70 mph.

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