Two cards are drawn from the same deck of cards withoutreplacemnet. What is the

Question

Two cards are drawn from the same deck of cards withoutreplacemnet. What is the proability of drawing two jacks? Icame up with 24. can you assit I think my answer may not beright I took P not jack 48/52 cards PJack                  4/52 Cards   it gave me 48/2 which is 24 Two cards are drawn from the same deck of cards withoutreplacemnet. What is the proability of drawing two jacks? Icame up with 24. can you assit I think my answer may not beright I took P not jack 48/52 cards PJack                  4/52 Cards   it gave me 48/2 which is 24

Explanation / Answer

Probability of get a jack on the first draw is 4/52 which reducesto 1/13 (divide top and bottom by 4). The probability ofgetting a jack the second time if you do not replace the first jackis 3/51 which reduces to 1/17 divide top and bottom by 3). The reason it is 3/51 is because after you take out the first jackyou only have 3 jacks left and a total of 51 cares. If youwant to know the probability of drawing two jacks from the samedeck without replacement you multiply the two individualprobabilities together: 1/13 * 1/17 = 1/221 This means that on average if you select two cards from a deck thatboth cards will be jacks one time every 221 draws.

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