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Ask a question do you have been to three jacks out of a standard 52 pack playing cards what do you need to know to calculate the probability of being dealt three jacks

1) how many suits are in a standard deck of cards?

2) how many cards are in a suit ?

3) How many combinations of three cards are in a deck?

4)How many permutations of three cards are in a deck?

5)How many different ways you could have three jacks in your hand?

1 Answer

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Final answer:

To calculate the probability of being dealt three jacks from a standard deck of 52 cards, you need to consider the number of suits, the number of cards in each suit, and the number of combinations and permutations of three cards. You also need to calculate the number of ways to have three jacks in your hand.

Step-by-step explanation:

To calculate the probability of being dealt three jacks from a standard deck of 52 cards, you need to know the following:

  1. There are four suits in a standard deck of cards: clubs, diamonds, hearts, and spades.
  2. There are 13 cards in each suit.
  3. The number of combinations of three cards from a deck of 52 is calculated using the formula: C(52, 3) = 52! / (3! * (52-3)!).
  4. The number of permutations of three cards from a deck of 52 is calculated using the formula: P(52, 3) = 52! / (52-3)!.
  5. The number of ways you could have three jacks in your hand is calculated by considering that there are 4 jacks in a deck and choosing 3 of them: C(4, 3) = 4! / (3! * (4-3)!).

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