SOLUTION: Consider the experiment of drawing two cards without replacement from an ordinary deck of 52 playing cards. What are the odds against drawing two spades?

Question 305305: Consider the experiment of drawing two cards without replacement from an ordinary deck of 52 playing cards. What are the odds against drawing two spades?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The probability of drawing 1 spade is 13/52=1/4.
The probability of drawing the second spade (w/o replacement) is 12/51=4/17.
The probabilities multiply to give P(2 spades)=(1/4)*(4/17)=1/17.
In terms of odds, probability gives favorable outcomes over total outcomes.
Odds are given in terms of unfavorable outcomes to favorable outcomes.
Total outcomes=17
Favorable outcomes=1
Unfavorable outcomes=16
So the odds are 16 to 1 for drawing two successive spades.
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