SOLUTION: Suppose you randomly draw two cards from a standard deck of playing cards. What's the probability of drawing a four of clubs, and then drawing a seven of hearts? do it with replace

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Question 1062217: Suppose you randomly draw two cards from a standard deck of playing cards. What's the probability of drawing a four of clubs, and then drawing a seven of hearts? do it with replacement and do it without replacement.
2.a bag contains 7 blue marbles, 3 green marbles, and 5 yellow marbles . Suppose you draw two marbles at random. What is the probability that you draw:
(a.) a blue, then a green marble with replacement and without replacement
(b.) two yellow marbles with replacement and without replacement?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose you randomly draw two cards from a standard deck of playing cards.
What's the probability of drawing a four of clubs, and then drawing a seven of hearts? do it with replacement and do it without replacement.
With replacement:: (1/52)(1/52)
Without replacement:: (1/52)(1/51)
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2.a bag contains 7 blue marbles, 3 green marbles, and 5 yellow marbles . Suppose you draw two marbles at random. What is the probability that you draw:
(a.) a blue, then a green marble with replacement and without replacement
With replacement:: (7/15)(3/15)
Without replacement:: (7/15)(3/14)
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(b.) two yellow marbles with replacement and without replacement?
With replacement:: (5/15)(5/15
Without replacement:: (5/15)(4/14)
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Cheers,
Stan H.
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