Math: Help: probability

Which answer, if any, is correct to:
Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What are the
odds against drawing a club and a diamond? My options are 13:204; 204:13, 13;191; or 191:13

I had two different people help me and here are the two different answers.

13/52*13/51= 169/2652= 13204 = 204:13

The other way was, but doesn't make sense is: P(club and diamond) = (13/52)(13/51)
P(not drawing a club and a diamond) = 1 - ( /(52*51)) = (52*51-13 )/(52*51)


odds against = P(against)/P(for) = (52*51- )/ = 2483:169= 191:13

  1. 👍 0
  2. 👎 0
  3. 👁 193
asked by bart
  1. prob(club and diamond) = 2(13/52)(13/51) = 13/102
    prob(not club and diamond) = 89/102

    odds against a club and diamond = 89 : 13

    1. 👍 0
    2. 👎 0
    posted by Reiny
  2. Now I have four different answers.

    1. 👍 0
    2. 👎 0
    posted by bwb
  3. It would be,
    there are 13 diamonds and 13 clubs.
    because 13/52 is 1/4 which is how many cards of diamonds, clubs, hearts, or spades each have.
    SO, if a person draws one card (we're assuming this is a club) which could be 13/52 because there are 13 total clubs, then there would be 1 less card from the 52, so the next fraction would be 3/51 because one card has been tooken away.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    I can not seem to figure out this question. Can someone please help? Two cards are drawn from an ordinary deck of 52 playing cards with replacement. What is the probability that A) both cards are the same color? B) both cards are

    asked by B.B. on August 3, 2009
  2. Math

    Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both are spades if the first card drawn was a spade? Answer: 12/51 24%. Is this right?

    asked by B.B. on August 3, 2009
  3. 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

    asked by B.B. on August 3, 2009
  4. Math

    Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both cards are kings if the first card drawn was a king? I'm thinking its 13/51 but not sure.

    asked by Rena on December 7, 2010
  5. Math

    two cards are drawn without replacement from an ordinary deck of 52 playing cards. what is the probability that both cards are kins if the first card drawn was a king? I was thinking it was 13/51 but not sure.

    asked by Rena on December 7, 2010
  6. Math

    12 cards are drawn with replacement from an ordinary deck of 52 cards. What is the probability that 4 queens of hearts, 4 aces of spades, and 4 kings of clubs are drawn?

    asked by Kevin on September 14, 2014
  7. Statistics

    12 cards are drawn with replacement from an ordinary deck of 52 cards. What is the probability that 4 queens of hearts, 4 aces of spades, and 4 kings of clubs are drawn?

    asked by Connor on September 14, 2014
  8. Math/ Probability

    Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both are spades if the first card drawn was a spade?

    asked by lisa on May 12, 2010
  9. math

    Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both are spades if the first card drawn was a spade?

    asked by Aleah on September 30, 2009
  10. probability/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 kings if the first card was not a king?

    asked by Brian on December 7, 2009
  11. Prob

    Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What are the odds against drawing two red cards?

    asked by lisa on May 30, 2010

More Similar Questions