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 &#64257;rst card drawn was a spade?

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Question 200333This question is from textbook Mathematics for elementary teachers
: 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? This question is from textbook Mathematics for elementary teachers

Answer by solver91311(24713) (Show Source):
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In a deck of 52, 13 are spades and 39 are something else.

So the probability of drawing a spade on the first draw is

Given that you were successful in pulling a spade on the first draw, there are now 12 spades left in a deck of 51 cards, so the probability of drawing the second spade is

And the total probability is the product of these two probabilities:

You can do your own arithmetic.

John

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 &#64257;rst card drawn was a spade?

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?