Question 597307
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The odds against is the ratio of the number of ways that the event doesn't happen to the number of ways it does happen.  You have 52 cards, 39 of them are not spades and 13 of them are.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 39:13]


Then reduce:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3:1]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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