Question

A professor rolls a fair, six-sided die. Using the classical method of probability, what is the probability that at least three spots will be showing up on the die

Answer 1

Answer:

The required probability is 2/3.

Step-by-step explanation:

It is given that a professor rolls a fair, six-sided die.

We need to find the probability that at least three spots will be showing up on the die.

Total possible outcomes = {1,2,3,4,5,6}

Number of total outcomes = 6

At least three spots will be showing up on the die.

Favorable outcomes = {3,4,5,6}

Number of favorable outcomes = 4

Formula for probability:

$Probability=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}$  

$Probability=\dfrac{4}{6}$  

$Probability=\dfrac{2}{3}$  

Therefore, the required probability is 2/3.