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HorseCrazyGirlForever

  • 3 years ago

Can someone please help me with explaining probability and odds?

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  1. HorseCrazyGirlForever
    • 3 years ago
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    A set of double six dominoes has 28 dominoes. What are the odds in favor of you drawing the double six? What are the odds against you drawing the double six?

  2. Directrix
    • 3 years ago
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    @HorseCrazyGirlForever "Let me clarify the difference between probability and odds. The probability of an event is defined as: (Chances for) P(x) = --------------- (Total chances) So, for example, the probability of drawing an ace in a single deck of 52 cards is 4/52 = 1/13 (or about 0.077 = 7.7%). Odds, on the other hand, are given as: (Chances for) : (Chances against) Incidentally, odds of 1:1 would be read as "one TO one", not "one OUT OF one." (The words "out of" seem to imply total chances, which is probability, not odds.) Since (Total chances) = (Chances for) + (Chances against), we can calculate (Chances against) = (Total chances) - (Chances for). The odds of drawing an ace in a deck of cards is 4:(52-4) = 4:48 = 1:12. Notice the difference in the second value; probability uses (Total chances), but odds use (Chances against). This is why the probability (if considered as a ratio) and the odds are different."

  3. Directrix
    • 3 years ago
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    The above explanation courtesy of Dr. Math at http://mathforum.org/library/drmath/view/56706.html

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