Question 1058644: Consider selecting one card at a time from a 52-card deck. What is the probability that the first card is from the suit of hearts and the second card is also from the suit of hearts? (Note: There are 13 cards from the suit of hearts in a deck of cards) (Show all work. Just the answer, without supporting work, will receive no credit.)
(a) Assuming the card selection is without replacement.
(b) Assuming the card selection is with replacement.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Consider selecting one card at a time from a 52-card deck.
What is the probability that the first card is from the suit of hearts and the second card is also from the suit of hearts? (Note: There are 13 cards from the suit of hearts in a deck of cards) (Show all work. Just the answer, without supporting work, will receive no credit.)
(a) Assuming the card selection is without replacement.
Probability of (heart and heart without replacement) = (13/52)(12/51)
(b) Assuming the card selection is with replacement.
Probability of (heart and heart with replacement) =(13/52)(13/52) = (1/4)^2 = 1/16
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Cheers,
Stan H.
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