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?
A) 1/2
B) 2/3
C) 1/3
D) 1/6

Question

Quizplus · Accepted Answer

The classical method of probability states that the probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

The total number of possible outcomes when rolling a fair, six-sided die is 6 (each face of the die has a different number from 1 to 6).

The favorable outcomes for "at least three spots showing up" are rolling a 3, 4, 5, or 6. There are 4 favorable outcomes.

Therefore, the probability of at least three spots showing up is 4/6, which can be simplified to 2/3.

Thus, the answer is B.

A Professor Rolls a Fair, Six-Sided Die