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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Probability of Shared Birth Month**

*Question:*  
If there are 3 people in a room, what is the probability that the three of them celebrate their birthdays in the same month?

*Answer Options:*

- 0.00006
- 0.007
- 0.08
- None of the above

This question explores the concept of probability, specifically the likelihood of three individuals having birthdays within the same calendar month. To determine the correct probability, consider the total number of possible birthday distributions across the 12 months and calculate how likely it is for all three birthdays to fall in the same month.
Transcribed Image Text:**Probability of Shared Birth Month** *Question:* If there are 3 people in a room, what is the probability that the three of them celebrate their birthdays in the same month? *Answer Options:* - 0.00006 - 0.007 - 0.08 - None of the above This question explores the concept of probability, specifically the likelihood of three individuals having birthdays within the same calendar month. To determine the correct probability, consider the total number of possible birthday distributions across the 12 months and calculate how likely it is for all three birthdays to fall in the same month.
Expert Solution
Step 1

According to the sum, If there are 3 people in a room, we have to find the probability that they have birthdays in the same month.

probability is the chance of occurrence of an event. it lies between 0 to 1.

Here, the total possible outcome is 123.

Let the birthday of the first person be denoted as A and his birthday can be chosen in C112=12 ways.

For the other two persons, to have their birthdays in the same month the probability is 1.

So, the total possible favorable outcomes=12*1*1.

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