#confusion of the highest order (probability)

13 messages · Page 1 of 1 (latest)

livid badger
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Consider 2 scenarios:

Scenario 1: a dice is rolled, A is the event that it lands on an even number, B is the event that it lands on a prime number. “A and B” is then the event that the dice lands on a number that is both prime and even.

Scenario 2: two dice are rolled. A is the event that the first die lands on an even number. B is the event that the second die lands on a prime number. “A and B” is then the event that the first die lands on an even number, and then the second one lands on a prime.

I don’t see how the meaning of the word “and” is fundamentally the same in both scenarios?

keen foxBOT
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  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with: ```diff
    +close
livid badger
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P(A and B)=P(A)P(B) holds true in both scenarios

little jay
livid badger
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Actually I was wrong and it doesn’t hold in scenario 1

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Yeah A and B are non-independent events in scenario 1

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I think that’s what makes the scenarios seem different

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It’s not that “and” has a different meaning, it’s just that the events are independent in one scenario and non-independent in the other

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So that pretty much explains it

little jay
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The scenarios differ in independency.

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Aight, thnxx for explaining.
And well done for getting things on ur own! :))

acoustic skiff
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+close