This preview shows page 1. Sign up to view the full content.
Massachusetts Institute of Technology
6.041/6.431: Probabilistic Systems Analysis
(Fall 2010)
Recitation 2
September 14, 2010
1. Problem 1.15, page 5657 in the text.
A coin is tossed twice. Alice claims that the event of two heads is at least as likely if we know
that the Frst toss is a head than if we know that at least one of the tosses is a head. Is she right?
Does it make a di±erence if the coin is fair or unfair? How can we generalize Alice’s reasoning?
2. Problem 1.14, page 56 in the text.
We roll two fair 6sided dice. Each one of the 36 possible outcomes is assumed to be equally
likely.
(a) ²ind the probability that doubles are rolled.
(b) Given that the roll results in a sum of 4 or less, Fnd the conditional probability that doubles
are rolled.
(c) ²ind the probability that at least one die roll is a 6.
(d) Given that the two dice land on di±erent numbers, Fnd the conditional probability that at
least one die roll is a 6.
3. Example 1.13, page 29, and Example 1.17, page 33, in the text.
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/02/2011 for the course ENGINEERIN EE302 taught by Professor Proasin during the Spring '11 term at South Carolina.
 Spring '11
 Proasin
 Computer Science, Electrical Engineering

Click to edit the document details