Quantitative Analysis

Quantitative Analysis (Show All Work)

#1

Solve the following Game:

Y1 Y2

X1 -5 -10

X2 12 8

X3 4 12

X4 -40 -5

#2

For the following two-person, zero-sum game, are there any dominated
strategies? If so, eliminate any dominated strategy and find the value
of the game.

Y1 Y2 Y3

X1 4 5 10

X2 3 4 2

X3 8 6 9

#3 Probability

A silver dollar is flipped twice. Calculate the probability of each of
the following occurring:

a head on the first flip

a tail on the second flip given that the first toss was a head

two tails

a tail on the first and a head on the second

a tail on the first and a head on the second or a head on the first and
a tail on the second

at least one head on two flips