Which describes a uniform probability model? a) an even or odd sum from rolling two dice b) selecting a ball from 3 yellow balls and 2 red balls c) the number of heads and tails from flipping two coins d) selecting a day of the week using only the first letter of that day

Option: A is the correct answer.

 A)an even or odd sum from rolling two dice.

Uniform probability model is a model in which every outcome has a equal probability.

A)

An even or odd sum from rolling two dice.

Since the number of events with even sum and odd sum are equal.

Hence, there probability is also equal.

Hence, it will represent a uniform probability model.

B)

selecting a ball from 3 yellow balls and 2 red balls.

Here the probability of selecting a yellow ball is: 3/5

and probability of selecting a red ball is: 2/5

as the probability of two events is different.

  Hence, it does not describe a uniform probability model.

C)

The number of heads and tails from flipping two coins.

P( 2 heads)=1/4

and P(1 head and 1 tail )=2/4=1/2

As the probability of the two events are different.

Hence, the model is not a uniform probability model.

D)

selecting a day of the week using only the first letter of that day.

Here the number of days which start with M is: 1

( Since Monday)

number of days which start with T is: 2

( Tuesday and Thursday)

Hence, P(day start with M is)=1/7

and P( Day start with T is)=2/7

Hence, the probabilities of above two events are different.

Hence, it does not describe a uniform probability model.