Probability

We will be testing some probability concepts that were introduced in lecture. For all of the following problems, we will introduce a problem statement and give you a proposed answer. You must assign the provided variable to one of the following three integers, depending on whether the proposed answer is too low, too high, or correct.

1. Assign the variable to 1 if you believe our proposed answer is correct.
2. Assign the variable to 2 if you believe our proposed answer is too high.
3. Assign the variable to 3 if you believe our proposed answer is too low.

Question:Assume we have two lists, list A and list B. List A contains the numbers [20,10,20], while list B contains the numbers [40,10,30,20,40,30]. We choose one number from list A randomly and one number from list B randomly. What is the chance that the number we drew from list A is larger than or equal to the number we drew from list B?

1/3

Proposed solution: Choose 1, 2 or 3

Hint: Consider the different possible ways that the items in List A can be greater than or equal to items in List B. Try working out your thoughts with a pencil and paper, what do you think the correct solutions will be close to?