Originally Posted by

**statsgirl1985** [snip]

Please take a look.

Toss one fair 12 sided die

a) What is the sample space of all possible outcomes of one toss?

b) Let’s define event A as “even number appears”. What is the probability of event A?

c) Let’s define event B as “number smaller than 7 appears”. What is the probability of event B?

d) Let’s define event C as “number 12 appears”. What is the probability of event C?

e) What is the complement of event C and what is its probability?

f) What is the intersection of event A and event B and what is its probability?

g) What is the union of event A and event B and what is its probability?

h) Among events A, B, and C, identify a pair of mutually exclusive events.

i) Compute P(B C)?

j) Are events A and B independent? Why?