Question 451857: What are the odds of drawing a heart from a standard deck of card?
Available answers are
a) 3 to 100
b) 1 to 13
c) 3 to 52
d) 1 to 3
Answer by solver91311(24713)   (Show Source):
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The odds in favor are expressed as [the number of favorable outcomes]:[the number of unfavorable outcomes] and then divide out any common factors.
In a 52 card deck there are 4 suits, so 52 divided by 4 is 13 -- hence there are 13 hearts. 52 minus 13 is 39, so there are 39 cards that are not hearts. So if drawing a heart is considered a favorable outcome, then there are 13 possible favorable outcomes, and there are 39 possible unfavorable outcomes. Hence, the odds in favor of drawing a heart are 13 to 39. But notice that both 13 and 39 are evenly divisible by 13, so reduced to lowest terms we have 1 to 3.
John
My calculator said it, I believe it, that settles it
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