Mathematics : Probability

An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:

A : The sum is greater than 8.

B : 2 occurs on either die.

C : The sum is at least 7 and a multiple of 3.

Which pairs of these events are mutually exclusive? 

Two dice are thrown. The events A, B, C are as follows:

A = Getting an odd number on the first die.

B = Getting a total of 7 on the two dice.

C = Getting a sum ≥ 8 on the two dice.

Describe events:

(i) A' (ii) not B (iii) A or B (iv) B and C (v) A but not C (vi) B but not C (vii) B or C

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State whether the following is true or false (give reason for your answer):

 A and B are mutually exclusive.

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State whether the following is true or false (give reason for your answer):

A and B arc mutually exclusive and exhaustive.

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State whether the following is true or false (give reason for your answer):
A = B'

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State whether the following is true or false (give reason for your answer):
A and C are mutually exclusive.