prealgebra

A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\diamondsuit$, called 'hearts' and 'diamonds') are red, the other two ($\spadesuit$ and $\clubsuit$, called 'spades' and 'clubs') are black. The cards in the deck are placed in random order (usually by a process called 'shuffling'). In how many ways can we pick two different cards? (Order matters, thus ace of spades followed by jack of diamonds is different than jack of diamonds followed by ace of spades.)

  1. 👍 0
  2. 👎 0
  3. 👁 632
  1. since all the cards are different, this is just
    52P2 = 52*51 = 2652

    Think about it. There are 52 choices for the first card.
    For each of those choices there are 51 ways to pick the next card.

    1. 👍 0
    2. 👎 0
    👨‍🏫
    oobleck
  2. For the total number of possibilities, there are 52 ways to pick the first card, then 51 ways to pick the second card, for a total of $52 \times 51 =
    2652 total possibilities.

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A standard deck of playing cards is shuffled and three people each choose a card. Find the probability that the first two cards chosen are clubs and the third card is black if the cards are chosen with replacement, and if the

  2. math

    if you are dealt 5 cards from a shuffled deck of 52 cards find the probability that all 5 cards are picture cards please show how to get the answer such 6!C! so i can understand

  3. Probability

    If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.

  4. MATH Prob.

    You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that both cards are black.

  1. math

    A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\diamondsuit$, called `hearts' and `diamonds') are red, the other two ($\spadesuit$ and $\clubsuit$,

  2. math

    Consider a standard deck of 52 playing cards with 4 suits. What is the probability of randomly drawing 1 card that is both a red card and a face card? (Remember that face cards are jacks, queens, and kings.) Enter your answer as a

  3. math

    Three cards are drawn at random without replacement from a standard deck of 52 playing cards. What is the probability that the second and third cards are black?

  4. Probability-Cards

    As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13

  1. Math

    Brent counted 10 red cards, 10 black cards, and 20 blue cards in a deck of cards. What is the ratio of red cards to the other cards?

  2. math

    Barry's deck of cards contains 40 blue cards and 70 red cards. Max's deck of cards contains the same number of blue cards, but the ratio of blue cards to red cards is 8:9. How many total cards does Max's deck of cards contain?

  3. math

    Two cards are drawn without replacement from a standard deck of 52 cards. Find the probability a) both cards are red ,b) both cards are the same color, c) the second card is a king given that the first card is a queen, d) the

  4. Math: Probability

    Hi, could you please help me? I have been stick on this question for a week and I have tried getting help from my teacher and parents, but I still cant get it. TIA A standard deck of 52 cards consists of 4 suits (hearts, clubs,

You can view more similar questions or ask a new question.