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STA 112 Quantifying Uncertainty Objective Question
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Question

When considering the 'Motivating Question' for Conditional Probability (Slides 13-14) – 'If you roll two dice and I tell you the first die is a 6, what's the probability the sum is 10?' – how does the new information affect the sample space?
Options
A The sample space remains the full 36 outcomes, but probabilities are adjusted.
B The original sample space is entirely discarded, and a new one is created from scratch.
C The new sample space is reduced to only those outcomes where the first die is a 6.
Correct Answer
D The information is irrelevant and does not change the sample space.
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 14 explains: 'With the information: The new sample space is only outcomes where the first die is 6: {(6,1),..., (6,6)}.' This demonstrates the reduction of the sample space based on the given condition.

Hint

Conditional probability means you are operating within a 'reduced world' or a subset of the original possibilities.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 56 of 112
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