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:
[tex]Probability=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]
[tex]Probability=\dfrac{4}{6}[/tex]
[tex]Probability=\dfrac{2}{3}[/tex]
Therefore, the required probability is 2/3.
