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High school statistics

Course: High school statistics>Unit 7

Lesson 3: Decisions with probability

Using probabilities to make fair decisions example

We can determine whether or not probabilities are being used to make a fair decision. In this example, we look at whether different outcomes have the same probability or not when we roll two dice to make a decision. Created by Sal Khan.

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• Why are 3 and 4 in the first row selected？
• This is an error as those 3 and 4 from the first row shouldn't be selected. The only way to get a 3 or 4 from 2 die is getting (1&2;2&1) and (1&3; 3&1; 2&2).

The answer should be 5/36 chance (or 0.138889%) for Jordan to vacuum and 1/6th chance (or 0.166667&) for Miguel to vacuum. Therefore, Miguel has a higher chance of vacuuming their apartment (by 1/36th or 0.127778%).

TLDR: No, their is a higher probability that Miguel will vacuum.
• At about , 3 and 4 in the first row was selected, and the only way that could be right is for the other dice to roll a 0, which it can't, since the dice only has the numbers 1-6 on it.
So, the correct answer is A:
``"No, there is a higher probability that Miguel vacuums."``
Because Miguel has a 6/36 probability of vacuuming, whie Jordan only has a 5/36 probability of vacuuming
• If I am not mistaken, in that problem probability of Miguel doing the work is 6/36 and jordan doing the work is 5/36
• Why is everybody talking about Miguel and Jordan? The names of the people in this video are Roberto and Jocelyn.
• It seems like the video got updated and the names as well as the scenario in the problem changed.

Previously it was a dice roll about whether Miguel or Jordan will vacuum.
However it seems that the video had an error and it got updated as a result.