FAQ: Rules of Probability - Union, Intersection, and Complement

Frequently Asked Questions Python FAQ
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This community-built FAQ covers the “Union, Intersection, and Complement” exercise from the lesson “Rules of Probability”.

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This exercise can be found in the following Codecademy content:

Master Statistics with Python

FAQs on the exercise Union, Intersection, and Complement

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Is there a difference between achieving both outcomes (rolling odd, rolling >2) on a single die roll vs rolling a separate die for each? Are rolling odd and rolling >2 two different events contingent on a single action? I’m confused about transferring this to the previous example of rolling a die and flipping a coin, where there are two distinct objects.

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If we consider each as independent, then it would take two rolls.

P(E) = odd  =>  3 / 6  =>  1 / 2
P(E) > 2    =>  4 / 6  =>  2 / 3

Taken together, they would not be independent because we would be ANDing them.

P(odd) AND P(> 2)  =>  1 / 2  X  2 / 3  =>  1 / 3
4

Ohhhhkay, thanks! I didn’t see how they could be dependent and simultaneous. All the later stuff on dependent events in this unit emphasizes sequentiality - first pick then second pick, get strep then get a test, etc, and I didn’t see how you could say that either event on a single die throw comes first, in order to have P(B|A). But playing around now it seems like that’s completely interchangeable.

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