Suppose two cards are drawn with replacement at random from a standard deck. Fin

Question

Suppose two cards are drawn with replacement at random from a standard deck. Find the following probabilities a. The probability that both cards are red. B. The probability that both cards are queens and find the probability that both cards are red or both cards are queens Suppose two cards are drawn with replacement at random from a standard deck. Find the following probabilities a. The probability that both cards are red. B. The probability that both cards are queens and find the probability that both cards are red or both cards are queens

Explanation / Answer

a)probability that both cards are red =P(frist is red)*P(second red|first red) =(26/52)*(25/51)=25/102

b) probability that both cards are queens =P(frist is queen)*P(second queen|first queen)=(4/52)*(3/51)=1/221

c) probability that both cards are red or both cards are queens=25/102+1/221 =331/1326

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