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HorseCrazyGirlForever
Can someone please help me with explaining probability and odds?
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?
@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."
The above explanation courtesy of Dr. Math at http://mathforum.org/library/drmath/view/56706.html