Consider a die with 20 sides.This shape is called an icosahedron.Suppose that the sides are numbers 1 to 20.Also suppose that the die is fair.

A-1). How many unique outcomes are possible on a single roll of the die?

A-2). What is the probability that a single roll of the die will result in an odd numbered face on top?

A-3). What is the probability that a single roll of the die will result in a single digit numbered face on top?

A-4). What is the probability that a single roll of the die will result in a number of divible by 5?

A-5). Consider two events as follows.

Event A: Roll of the die results in a number divisible by 6.

Event B: Roll of the die results in a number a 2-digit number on top.

Are the two events A and B mutually exclusive?

Are the two events A and B collectively exhaustive?