Math

Three cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second and third cards are spades if the first card was not a spade?
Answer: 36/52 18/26 9/13= 69%.
Is this right? Thanks for the help.

  1. 👍
  2. 👎
  3. 👁
  1. Wrong question please don't answer. Thanks.

    1. 👍
    2. 👎
  2. No, that is not right. Doesn't 69% seem too high a probability for drawing spades twice in a row?

    This is a conditional probability. A key phrase is "...IF the first card was not a spade." You have to assume that the first card was NOT a spade. Then the deck before the second draw has 13 spades out of 52. The same applies to the third draw, since the drawn spades are replaced. The answer is (13/52)^2 = 1/16

    1. 👍
    2. 👎
  3. If we consider "without replacement", the second draw starts with only 51 cards and 13 spades.
    The probability of success would be the product of the probabilities of the second and third draws, namely
    (13/51)*(12/50)=26/425

    1. 👍
    2. 👎
  4. I did the with replacement case by mistake. Careless of me. Sorry

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  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. Probability

    Five cards are drawn from an ordinary deck without replacement. Find the probability of getting a. All red cards b. All diamonds c. All aces

  3. Probability

    Two cards are drawn at random from an ordinary deck of 52 playing cards. What is the probability of getting two faces if: a) the first card is replaced before the second card is drawn? b) the first card is not replaced before the

  4. statistics

    Three cards are drawn from a deck without replacement. Find these probabilities. a)all are jacks b)all are clubs c)all are red cards

  1. Statistics

    Two cards are drawn in succession from a deck without replacement. What is the probability that both cards are greater than 2 and less than 8?

  2. 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

  3. 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.

  4. 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?

  1. math

    -Three cards are drawn from a standard deck of cards without replacement. what is the probability that all three cards will be clubs f. 3/4 g. 11/850 h. 1/3 i. 36/153 please help....!!!!!

  2. math

    two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. find the probability of the given event. a. two cards of the same suit are drawn. b. a pair is not drawn.

  3. math

    Three cards are drawn without replacement from a well-shuffled standard deck of 52 playing cards. Find the probability that none is a face card.

  4. math

    Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second card is a spade if the first card was not a spade?

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