Question 352140: a card is taken at random from a pack of cards and replaced. A second card is drawn. The probability of a diamond being drawn is one quarter. What is the probability that both cards are from the same suit?
Found 2 solutions by stanbon, sudhanshu_kmr:
Answer by stanbon(75887)   (Show Source):
Answer by sudhanshu_kmr(1152)  (Show Source):
You can put this solution on YOUR website! As card is replaced, probability of both card are independent.
Both cards should be either spade, club, diamond or heart.
probability of first card is diamond = 1/4 ,
similarly for second card it is also 1/4
there are equal number of spade, club, diamond or heart card in a pack.
Probability of both cards are spade = 1/4 * 1/4 = 1/16
similiary,probability for both cards are club = 1/16
for both cards are diamond = 1/16
for both cards are heart = 1/16
now, probability of both cards are from same suit = 1 /16 + 1/16 + 1/16 + 1/16
= 4/16
= 1 /4
required probability is 1/4
Sometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try the problem yourself.
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