## Exam Information

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MATH 110 EXAM#3~ MAY 7, 2003
NAME, ______________________ -----
SECTION, __ _
SHOW ALL WORKI
1. Consider the experiment irtl which two distinguishable, fair, 6-sided
dice are rolled.
[3] (a) List the elements in!the sample space, S.
[3] (b) List the elements in ;the event A, both numbers are greater than
4.
[4] (c) Find the probability that the sum of the numbers is less than 5.
[4] (d) Find the probability ~f rolling doubles (ie, both numbers are the
same), given that th~ sum of the numbers is less than 5.
[8] 2.
S is a sample space and "$ and F are events.
TF (a)
peE) + peE') = 1.
TF (b)
If peE U F) = peE) +'P(F) then E and F are mutually exclusive.
TF (c)
If E and F are independent, then they are mutually exclusive.
TF (d)
peE I F) = peE) if E'and F are independent events.
1
--~--------~-~----------------------~-------,
3. Let E and F be mutually exclusive events with peE) = ~ and P(F) = ~.
Find the following:
[3] (a) peE U F)
[3] (b) P(F')
[3] (c) peE...

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