peope probac ebrate their birthdays on the same month of th 0.23 0.57 0 64

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Probability Question

**Prompt:**  
If there are 3 people in a room, what is the probability that no two of them celebrate their birthdays in the same month of the year?

**Answer Options:**  
- ○ 0.23  
- ○ 0.57  
- ○ 0.64  
- ○ 0.76  

This question examines concepts of probability involving independent events where birthday months are randomly distributed across a year.
Transcribed Image Text:### Probability Question **Prompt:** If there are 3 people in a room, what is the probability that no two of them celebrate their birthdays in the same month of the year? **Answer Options:** - ○ 0.23 - ○ 0.57 - ○ 0.64 - ○ 0.76 This question examines concepts of probability involving independent events where birthday months are randomly distributed across a year.
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

As there exist 12 months in a year and there are 3 people in the room-

all possible cases = 123 = 1728

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