# Jason randomly selects 24 cards from a deck of cards, and finds that out of those 24, 6 are face cards. Use your knowledge of experimental and theoretical probability to determine if the experiment...

Jason randomly selects 24 cards from a deck of cards, and finds that out of those 24, 6 are face cards. Use your knowledge of experimental and theoretical probability to determine if the experiment contained more face cards than it should have.

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### 1 Answer

A deck of 52 cards has 16 face cards. Jason randomly selects 24 cards from a deck of cards, and finds that out of those 24, 6 are face cards.

The probability of a card taken from the set of cards selected by him being a face card is 6/24 = 1/4. For, a standard deck of cards, the probability of the same is 16/52 = 1/3.25. If the same experiment were to be repeated an infinite number of times, Jason would pick approximately `(16/52)*24 ~~ 7.38` face cards.

**The number of face cards picked by Jason is less than what he should have.**

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The Ace may be considered a face card.

If that is not the case, the number of face cards in a set of 24 cards selected from a deck of 52 cards is `(12/52)*24 ~~ 5.53` . As Jason picks 6 face cards, it is higher than what he should have.