Math Problem Statement
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
Solution
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:
Given:
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 .
Given:
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.
Here are some related questions you might consider:
- What is the probability of seeing a Kia or Chevy?
- What is the probability of seeing any car other than a Ford?
- What is the probability of seeing a Toyota and not a Honda?
- What is the probability of seeing a Ford, Honda, or Kia?
- What is the probability of seeing a Chevy or any make other than a Toyota?
Tip: The complement rule is a handy tool for quickly calculating probabilities of events not occurring.
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Math Problem Analysis
Mathematical Concepts
Probability
Complementary Events
Mutually Exclusive Events
Formulas
P(A or B) = P(A) + P(B) for mutually exclusive events
P(Not A) = 1 - P(A)
Theorems
Complement Rule
Addition Rule for Mutually Exclusive Events
Suitable Grade Level
Grades 9-10
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