1. An experiment consists of selecting a letter at random from the letters in the wordMISSISSIPPIand observing the outcomes.What is the appropriate sample space for this experiment?

a){ M, S, S, I, P }

b){ I, M, P, S }

c){ I, S, P }

d){ M, I, S, I, P }

e){ M, I, S, P, P }

2. LetS = {3, 4, 5, 6, 7, 8, 9}be a sample of an experiment and letX = {3, 6, 9},Y = {4, 5, 7}, andZ = {3, 5, 7}be events.Which of the following statements is correct?

a)X, Y, and Z are mutually exclusive events.

b)X and Z are mutually exclusive events.

c)Z and Y are mutually exclusive events.

d)X and Y are mutually exclusive events.

e)X and S are mutually exclusive events.

f)None of the above.

3. Let S be any sample space, and E, F and G be any three events.Describe the event that E does not occur, but the event that both F and G occur.

a)E (G^c F^c)

b)E^c (G F )

c)E^c (G F )

d)E (G^c F )

e)E^c (G F )

f)None of the above.