Posted in : Java Beginners

The probability that at least two people in the group of 5 people will have the same birthday is:

1 - 365/365 x 364/365 x 363/365 x 362/365 x 361/365 = 0.027, which is

1 - (365 - 0)*(365 - 1)*(365 - 2)*(365 - 3)*(365 - 4) / 365^5 = 0.027

The probability that at least two people in the group of 10 people will have the same birthday is:

1 - 365/365 x 364/365 x 363/365 x 362/365 x 361/365 x 360/365 x 359/365 x 358/365 x 357/365 x 356/365 = 0.12, which is

1 - (365 - 0)*(365 - 1)*(365 - 2)*(365 - 3)*(365 - 4) )*(365 - 5)*(365 - 6)*(365 - 7)*(365 - 8)*(365 - 9)/ 365^10 = 0.12

So you can see that the probability is growing as the number of people in the group increases. We can say that for a group of 365 people the probability that at least two people will have the same birthday is 1.0 or 100%.

Using loops we need to create a program that will show the table: probability vs. number of people.

The table will display the minimum number of people that would be required so that the probability of at least two people in a randomly chosen group having the same birthday is at least 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0.

1 - 365/365 x 364/365 x 363/365 x 362/365 x 361/365 = 0.027, which is

1 - (365 - 0)*(365 - 1)*(365 - 2)*(365 - 3)*(365 - 4) / 365^5 = 0.027

The probability that at least two people in the group of 10 people will have the same birthday is:

1 - 365/365 x 364/365 x 363/365 x 362/365 x 361/365 x 360/365 x 359/365 x 358/365 x 357/365 x 356/365 = 0.12, which is

1 - (365 - 0)*(365 - 1)*(365 - 2)*(365 - 3)*(365 - 4) )*(365 - 5)*(365 - 6)*(365 - 7)*(365 - 8)*(365 - 9)/ 365^10 = 0.12

So you can see that the probability is growing as the number of people in the group increases. We can say that for a group of 365 people the probability that at least two people will have the same birthday is 1.0 or 100%.

Using loops we need to create a program that will show the table: probability vs. number of people.

The table will display the minimum number of people that would be required so that the probability of at least two people in a randomly chosen group having the same birthday is at least 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0.

View Answers

Related Tutorials/Questions & Answers:

- Java Tutorials
- Java Code example
- Java Programming
- Java Beginners Examples
- Applet Tutorials
- Awt Tutorials
- Java Certification
- Interview Question
- Java Servlets Tutorial
- Jsp Tutorials
- Java Swing Tutorials
- JDBC Tutorial
- EJB Tutorials
- Java Server Faces (JSF) Tutorial
- WAP Tutorial
- Struts Tutorial
- JAXB Tutorial
- Spring FrameWork Tutorial
- SOA&Web Services Tutorials
- Bioinformatics Tutorials
- MySQL Tutorials
- JAVA DOM Tutorial
- XML Tutorial
- EAI Articles
- Many Programming Tutorials Links
- Tutorials Books
**Java Script Tutorial****Ajax Tutorial****Dojo Tutorials****Programming Books****Trainings****Flex****Ant****RDF**