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
Algebra ->
Probability-and-statistics
-> 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
Log On
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) (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)
=
=