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(d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be picked), what is the probability that the list will include no minis?

(d) If you create an ordered list of 4 cars completely at random (that is, any car is equally li be picked), what is the probability that the list will include no minis?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Just need the answer to part D Thanks.

**Problem Context:** A car dealership has an inventory consisting of: - 5 minis (M) - 8 convertibles (C) - 14 sedans (S) **Important Assumption:** Unordered/ordered lists cannot include duplicates. **Questions:** (a) **Unordered List of 20 Cars:** An unordered list of 20 cars is a combination of 20 from the dealership's inventory where the order does not matter. Two lists with the same 20 cars are considered identical. Determine how many unordered lists of 20 cars can be created without repeating any car. (b) **Probability with Unordered List of 20 Cars:** If a list of 20 cars is created at random (with equal likelihood for any car), what is the probability that the list contains all 8 convertibles? (c) **Ordered List of 4 Cars:** An ordered list of 4 cars is a sequence where the cars are in a specific order. Two lists with the same cars in a different order are distinct. Calculate how many ordered lists of 4 cars can be generated without repeating any car. (d) **Probability with Ordered List of 4 Cars:** If an ordered list of 4 cars is randomly created (each car equally likely), what is the probability that no minis are included in the list?
Transcribed Image Text:**Problem Context:** A car dealership has an inventory consisting of: - 5 minis (M) - 8 convertibles (C) - 14 sedans (S) **Important Assumption:** Unordered/ordered lists cannot include duplicates. **Questions:** (a) **Unordered List of 20 Cars:** An unordered list of 20 cars is a combination of 20 from the dealership's inventory where the order does not matter. Two lists with the same 20 cars are considered identical. Determine how many unordered lists of 20 cars can be created without repeating any car. (b) **Probability with Unordered List of 20 Cars:** If a list of 20 cars is created at random (with equal likelihood for any car), what is the probability that the list contains all 8 convertibles? (c) **Ordered List of 4 Cars:** An ordered list of 4 cars is a sequence where the cars are in a specific order. Two lists with the same cars in a different order are distinct. Calculate how many ordered lists of 4 cars can be generated without repeating any car. (d) **Probability with Ordered List of 4 Cars:** If an ordered list of 4 cars is randomly created (each car equally likely), what is the probability that no minis are included in the list?
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