In a biostatistics class of 40 students, what is the probability that at least two people in the class will have the same birthday (i.e., the same day and month)? For simplicity, ignore leap year (Feb. 29).  Note: list the equation you will use and how the problem is set up, using shorthand as appropriate.  However, you may want to do the calculations themselves on Excel. How many people would you need to have about a 50% probability of having at least two people with the same birthday?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. In a biostatistics class of 40 students, what is the probability that at least two people in the class will have the same birthday (i.e., the same day and month)? For simplicity, ignore leap year (Feb. 29).  Note: list the equation you will use and how the problem is set up, using shorthand as appropriate.  However, you may want to do the calculations themselves on Excel.
  2. How many people would you need to have about a 50% probability of having at least two people with the same birthday?
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Hi! Thank you for the question. As per the honor code, we are allowed to answer 1 question at a time, so we are answering the first question as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining questions.

Given information:

It is recommended to ignore leap year.

If the year is not a leap year, then the year has a total of 365 days.

The formula for the probability is Probability=Total number of favorable OutcomesTotal number of possible Outcomes.

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