# Thread: A toss of one fair 12 sided die

1. ## A toss of one fair 12 sided die

Hi Everyone,

I've been working on this problem but am unsure if I am doing it correctly. 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?

2. Originally Posted by statsgirl1985
Hi Everyone,

I've been working on this problem but am unsure if I am doing it correctly.
[snip]
If you show your working we will be able to tell you whether or not you're doing it correctly.

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?