SOLUTION: Three cards are drawn without replacement from a well-shuffled deck of 52 playing cards. What is the probability that the second card drawn is a diamond? Help please. thank you

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Question 746653: Three cards are drawn without replacement from a well-shuffled deck of 52 playing cards. What is the probability that the second card drawn is a diamond? Help please. thank you
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Law of Total Probability:
P(2nd card = diamond) =
P(2nd card = diamond|1st card = diamond)•P(1st card = diamond) +
P(2nd card = diamond|1st card = NOT diamond)•P(1st card = NOT diamond)
= %2812%2F51%29%2813%2F52%29+%2B+%2813%2F51%29%2839%2F52%29
= highlight%281%2F4%29