MathProbabilityEvents and probabilities

Rules of sum, product, and complement

A or B?

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Choose all pairs of events AA and BB where the probability of event AA is greater than the probability of event BB:

  1. AA: Two cards are pulled from a deck of 52 cards, and both are kings. BB: Four cards are pulled from a deck of 52 cards, and all of them are hearts.

  2. A factory produces product XX with the probability of defect 0.050.05 and product YY with the probability of defect 0.020.02.
    Someone bought one XX and one YY. AA: Exactly one of the purchased products has defects. BB: Product YY has a defect, and XX doesn't have any.

  3. AA: Two dice are rolled, and the sum of their points is odd. BB: A die is rolled, and the number of points isn't divisible by 33.

  4. AA: One card is pulled from a deck of 52 cards, and it's a king or an ace. BB: Two cards are pulled from a deck of 52 cards, and both are hearts.

Select one or more options from the list
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