SOLUTION: draw 2cards from a 52 standard deck of cards, let A=1st card is ace, let B=2nd card is spade. are A and B independent? what is p(a), p(b), p(a and b)?
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Question 394344: draw 2cards from a 52 standard deck of cards, let A=1st card is ace, let B=2nd card is spade. are A and B independent? what is p(a), p(b), p(a and b)?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Depends on whether you replace the first card into the deck before you draw the second.
With replacement the answer is yes, they are independent events.
Without replacement, no. That's because the probability of the second card being a spade is either 13/51 if the first card drawn was other than a spade but it is 12/51 if the first card was a spade.
John
My calculator said it, I believe it, that settles it
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