Consider the situation where you have three game chips, each labeled with one of the the numbers 4, 7, and 10 in a hat:

a. If you draw out 2 chips without replacement between each chip draw, list the entire sample space of possible results that can occur in the draw. (4,7), (4,10), (7,4), (7,10), (10,4), (10,7)

Use the three events are defined as follows, to answer parts b through n below:

Event A: the sum of the 2 drawn numbers is odd.

Event B: the first chip value drawn is greater than the second chip value drawn

Event C: the sum of the 2 drawn numbers is a prime number.

Now, using your answer to part a. find the following probability values:

b. P(A)=

c. P(B)=

d. P(C)=

e. P(A and C)=

f. P(A or B)=

g. P(B and C)=

h. P(B or C)=

i. P(C given B)=

j. P(C given A)=

k. P(not B)=

l. P(not C)=

m. Are events A and C mutually exclusive?Why or why not?