To find: The probability that the three people in the room have different birthday.
Answer to Problem 45E
Explanation of Solution
Given information:
Generating the Birthday Probabilities: The probability that, in a group of
Set the values of
Type in this single, multi-step command:
Now each time you press the ENTER key, the command will print a new value of
(Assume that there are
There are three people in the room.
There are
They all have different birthdays, so the number of favorable outcomes is
Therefore, the probability of having them different birthdays will be:
To find: The probability that at least two of them share a common birthday.
Answer to Problem 45E
Explanation of Solution
Given information:
If there are three people in the room, what is the probability that at least two of them share a common birthday.
Calculation:
The probability of having them different birthdays is
Therefore, the probability of at least two of them sharing a common birthday will be:
To find: The probability of a shared birthday when there are four people in the room.
Explanation of Solution
Given information: Explain how you use the answer in part
Let the probability
Then, the probability of a shared birthday when there are four people will be:
To find: Is it reasonable to assume all calendar dates are equally likely birthdays.
Explanation of Solution
Given information: All calendar dates.
No, it is not reasonable to assume that all calendar dates are equally likely birthday as the probability of having the same birthday will increase with the increase in the number of people.
Chapter 2 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning