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Simple probability question - Cards

  1. Feb 4, 2012 #1
    You have a deck of cards.

    I deal out one card each to 3 people. Is it more likely or less likely that AT LEAST one of the people will be dealt a heart?

    I require clarification on this, thanks in advance.
     
  2. jcsd
  3. Feb 4, 2012 #2

    tiny-tim

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    welcome to pf!

    hi arron77! welcome to pf! :wink:
    in other words: you deal 3 cards: what is the likelihood that at least one will be a heart?

    show us how far you've got, and then we'll comment :smile:
     
  4. Feb 4, 2012 #3
    well I'm not going into detail this was more to settle a point

    player 1 has a 1/4 chance to get a heart, as do the other two players

    so combined to me they have a 3/4 chance to get a heart. Thus I should not bet on this game as I would most likely lose
     
  5. Feb 4, 2012 #4
    If you're new to probability you have to learn to think in an odd way. It is ridiculous to calculate the prob that at least one gets a heart. Try instead the probability that no one gets a heart. You just need to deal from the other 39 cards. Then the prob that at least one gets a heart is 1 minus the prob that nobody gets a heart.
     
  6. Feb 4, 2012 #5

    tiny-tim

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    well, that reasoning has to be wrong :redface:

    if you dealt 1 card to 4 people, would the probability of at least one heart be 4/4 ? :wink:
     
  7. Feb 4, 2012 #6
    Yes that reasoning is wrong. But the quick answer is that if you deal 1 card each to 3 people then the probability of at least one heart is about 0.59.
     
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