This preview shows pages 1–2. Sign up to view the full content.
EXAM P QUESTIONS OF THE WEEK
S. Broverman, 2005
Week of December 5/05
Fred, Ned and Ted each have season tickets to the Toronto Rock (Lacrosse).
Each one of them might, or might not attend any particular game. The probabilities
describing their attendance for any particular game are
TÒ
ÓœÞ*&
at least one of them attends the game
,
ÓœÞ)!
at least two of them attend the game
, and
ÓœÞ&!
all three of them attend the game
.
Their attendance pattern is also symmetric in the following way
TÐJÑœTÐRÑœTÐXÑ
TÐJ ∩RÑœTÐJ ∩XÑœTÐR ∩XÑ
and
,
where
and
denote the events that Fred, Ted and Ned attended the game, respectively.
Jß R
X
For a particular game, find the probability that Fred and Ned attended.
A) .15
B) .30
C) .45
D) .60
E) .75
The solution can be found below.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentWeek of December 5  Solution
From the given probabilities, it follows that
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '10
 Diaz

Click to edit the document details