Question

Can someone please help me with explaining probability and odds?

Answer 1

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?

Answer 2

@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."

Answer 3

The above explanation courtesy of Dr. Math at
http://mathforum.org/library/drmath/view/56706.html