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anonymous

  • one year ago

so three cards are drawn from a deck of 52 cards. what are the ODDS that all three cards are spades? how do you do odds? opposed to probability?

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  1. anonymous
    • one year ago
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    i know that it's the ratio successes :failures so i tried 13 C3 : 39C3 but it didnt get me the right answer

  2. cwrw238
    • one year ago
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    the probability that all 3 cards are spades is the product of the individual probabilities

  3. cwrw238
    • one year ago
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    there are 13 spades in a pack of 52 so P(3 spades) = 1/4 * 12/51 * 11/50

  4. anonymous
    • one year ago
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    how about the odds?

  5. cwrw238
    • one year ago
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    this equals 11/850 as a fraction

  6. cwrw238
    • one year ago
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    not sure about the odds I guess its 839 to 11 against it happening (839 because its 850 - 11)

  7. anonymous
    • one year ago
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    that's right 11:830

  8. anonymous
    • one year ago
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    11:839*

  9. anonymous
    • one year ago
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    but im a bit confused on how to get it

  10. cwrw238
    • one year ago
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    what part are you confused about?

  11. anonymous
    • one year ago
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    finding the odds of something

  12. cwrw238
    • one year ago
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    I dont back horses so I'm not much help there lol

  13. cwrw238
    • one year ago
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    when you said right 11:839 - was that the answer given in the book or on-line?

  14. anonymous
    • one year ago
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    answer key from my teacher

  15. cwrw238
    • one year ago
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    right well if my memory serves me right there are 2 kins of odds odds on and odds against so ithink 11:839 is the odds ON 3 spades being drawn ad 839:11 is the odds AGAINST 3 spades being drawn

  16. cwrw238
    • one year ago
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    a simple example would be if a horse has the probability of winning a race the odds ON will be 1:3 and odds against will be 3:1 - the 2 numbers must add up to 4

  17. cwrw238
    • one year ago
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    * has the probability 1/4 of winning a race

  18. anonymous
    • one year ago
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    but for cards, you have to draw 3 cards? so wont that change

  19. cwrw238
    • one year ago
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    no the rule is still the same you first work out the probabiility as a fraction and work out the odds on by subtraction ( in our case 850-11) your teacher wanted the odds ON drawing 3 spades.

  20. anonymous
    • one year ago
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    i tried that for another problem. which is now 5 cards are draw... odds of get 5 face cards.

  21. anonymous
    • one year ago
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    so if i treat it like probability it would be 792/2598960

  22. cwrw238
    • one year ago
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    some fraction i have a graphical calculator so i can get that in its most simple form - its 33/ 108290 - so can you work out the odds from this result?

  23. anonymous
    • one year ago
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    how did you get that?

  24. cwrw238
    • one year ago
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    as i said my calculator does the addition of fractions

  25. anonymous
    • one year ago
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    i mean like the probability in general?

  26. cwrw238
    • one year ago
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    you could do it manually by finding prime factors but its a bit tedious

  27. anonymous
    • one year ago
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    how do you know what fractions to add though

  28. cwrw238
    • one year ago
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    well how did you get your fraction 792/2598960?

  29. anonymous
    • one year ago
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    the number of successes is 12C5 over total number of outcomes is 52C5

  30. cwrw238
    • one year ago
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    oh ok thats another way of doing it the other way is 12/52 * 11/51 * 10/50 *9/49 * 8/48

  31. cwrw238
    • one year ago
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    - beceuse theres 12 face cards out of 52 - then we have 11 left out of 51 etc they are independent evants so the probabilities are multipl;ied

  32. anonymous
    • one year ago
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    hm, i get a different answer

  33. cwrw238
    • one year ago
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    you can simplify some of the fractions first so its same as 3/13 * 11/51 * 1/5 * 9/49 * 1/6

  34. anonymous
    • one year ago
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    oh i got the answer. thank you xD

  35. cwrw238
    • one year ago
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    yw

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