SOLUTION: 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 card

Algebra ->  Probability-and-statistics -> SOLUTION: 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 card      Log On


   



Question 352141: 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 different suits?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 different suits?
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P(both different) = 1 -P(both are same suit)
= 1 - p(both hearts or both diamonds or both spades or both clubs)
= 1 - (4*(1/4)^2)
= 1 - (1/4)
= 3/4
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Cheers,
Stan H.