Harry walks to the parking lot after class and notices the make of each car and calculates the
following probabilities. The probability of seeing a Ford is 0.24, Honda is 0.23, Toyota is 0.25,
Chevy is 0.13, and Kia is 0.15. Calculate the probability of the following:
a) A Ford or Toyota.
b) Any make other than a Honda

To calculate these probabilities, we use basic probability rules.

### a) Probability of seeing a Ford or Toyota
The events "seeing a Ford" and "seeing a Toyota" are mutually exclusive (i.e., a car cannot be both a Ford and a Toyota). Therefore, the probability of seeing a Ford **or** a Toyota is the sum of the individual probabilities:

\[
P(\text{Ford or Toyota}) = P(\text{Ford}) + P(\text{Toyota})
\]

Given:
- \( P(\text{Ford}) = 0.24 \)
- \( P(\text{Toyota}) = 0.25 \)

\[
P(\text{Ford or Toyota}) = 0.24 + 0.25 = 0.49
\]

So, the probability of seeing a Ford or Toyota is **0.49**.

---

### b) Probability of seeing any make other than a Honda
This is the complement of the event "seeing a Honda." The complement rule states that the probability of an event not occurring is \( 1 - P(\text{Honda}) \).

Given:
- \( P(\text{Honda}) = 0.23 \)

\[
P(\text{Not Honda}) = 1 - 0.23 = 0.77
\]

So, the probability of seeing any make other than a Honda is **0.77**.

---

Let me know if you need further explanation on any of these concepts.

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Here are some related questions you might consider:
1. What is the probability of seeing a Kia or Chevy?
2. What is the probability of seeing any car other than a Ford?
3. What is the probability of seeing a Toyota and not a Honda?
4. What is the probability of seeing a Ford, Honda, or Kia?
5. What is the probability of seeing a Chevy or any make other than a Toyota?

**Tip:** The complement rule \( P(\text{not A}) = 1 - P(A) \) is a handy tool for quickly calculating probabilities of events not occurring.

Harry walks to the parking lot after class and notices the make of each car and calculates the following probabilities. The probability of seeing a Ford is 0.24, Honda is 0.23, Toyota is 0.25, Chevy is 0.13, and Kia is 0.15. Calculate the probability of the following: a) A Ford or Toyota. b) Any make other than a Honda.

Explore how to calculate probabilities for different car makes using basic probability rules. Learn to apply the addition rule for mutually exclusive events and the complement rule. This problem involves calculating the probability of seeing a Ford or Toyota and any make other than a Honda. Suitable for Grades 9-10.

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