SOLUTION: Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both are spades if the first card drawn was a spade?

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Question 352800: Two cards are drawn without replacement from an ordinary
deck of 52 playing cards. What is the probability that
both are spades if the first card drawn was a spade?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Basically this all boils down to the probability of drawing a spade since we know that the first card is a spade. So there are 13-1 = 12 spade cards left (after the first draw of a spade) and there are 52-1=51 cards left overall.

So

P(Drawing a spade after one spade has been drawn) = 12%2F51


So this consequently means that the chances of drawing 2 spades given that the first draw is a spade is also 12%2F51