Question

Consider rolling a fair six-sided die. Round your answer to three decimal places. What is the probability that the result is not a 5?

a) 0.833
b) 0.167
c) 0.500
d) 0.833

Answer 1

The probability of not rolling a 5 on a fair six-sided die is 5/6, which is approximately 0.833 when rounded to three decimal places. The correct answer to the student's question is a) 0.833.

Step-by-step explanation:

When considering the probability of an event, we look at the ratio of favorable outcomes to the total number of possible outcomes. Rolling a fair six-sided die, the sample space S is {1, 2, 3, 4, 5, 6}. If the event in question is the probability of rolling a number that is not a 5, then there are 5 favorable outcomes ({1, 2, 3, 4, 6}) out of a total of 6 possible outcomes.

To calculate the probability, we divide the number of favorable outcomes by the number of possible outcomes: P(not 5) = 5/6. In decimal form, this is approximately 0.833 when rounded to three decimal places as requested. Therefore, the answer to the question is a) 0.833.