# Homework 4 - 550.420 Introduction to Probability Fall 2011...

This preview shows pages 1–2. Sign up to view the full content.

550.420 Introduction to Probability Fall 2011 Homework 4 Due Thursday September 29 [1] (2 points) Two fair dice are tossed 6 times, independently. What is the probability that the 6 th sum is not a repetition of a previous sum? [2] (2 points) Suppose that three numbers are selected one by one, at random, and without replacement, from the set of integers {1,2,3,….,n}. What is the probability that the third number falls between the first two if the first number is smaller than the second? [3] (2 points) Because of a prisoner’s constant pleading, the king grants him this favor: He is given 2N balls, which differ from each other only in that half of them are green and half are red. The king instructs the prisoner to divide the balls between two identical urns. One of the urns will then be selected at random, and the prisoner will be asked to choose a ball at random from the urn chosen. If the ball turns out to be green, the prisoner will be set free immediately. Otherwise, the prisoner will have to serve the rest of his 30 year sentence.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern