Read this story and answer following questions.

Elizabeth and Johnny are playingHide and Seek. Elizabeth is hiding, and Johnny is searching for her. The payoff to Elizabeth from successfully hiding is 5 and from being caught is 2. For Johnny, the payoff from finding Elizabeth is 9, and from not finding her is 4. Elizabeth can hide inLibrary,Karl Popper,orMeremere.Because Johnny has a leg injury from his recent weekend party, he cannot search for her at all places. Suppose Johnny can search any two places so that he has three pure strategies:Library and Karl Popper,Library and Meremere, orKarl Popper and Meremere. Use the concept of Mixed Strategy Nash Equilibrium and answer the questions.

Probability of Elizabeth choosing her pure strategyLibrary:

a.

1/3

b.

2/3

c.

3/4

d.

3/5

e.

4/5

Probability of Elizabeth choosing her pure strategyKarl Popper:

a.

1/3

b.

2/3

c.

3/4

d.

3/5

e.

4/5

Probability of Johnny choosing his pure strategyLibrary and Meremere:

a.

1/3

b.

2/3

c.

3/4

d.

3/5

e.

4/5

Expected payoff of Elizabeth from choosing her pure strategyLibrary:

a.

3

b.

5

c.

7

d.

9

e.

11