Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

When rolling two dice, if the first die is a 6, what is the probability that the sum is 10? (Based on the motivating question example).
Options
A 3/36
B 1/12
C 1/6
Correct Answer
D 1/36
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 14 explains that if the first die is 6, the sample space is reduced to {(6,1),...,(6,6)}. In this reduced world, only (6,4) gives a sum of 10. So the probability is 1 out of 6 possible outcomes, which is 1/6.

Hint

The information about the first die being a 6 changes the possible outcomes.

Question Info