Two cards are drawn without replacement from a well shuffled deck of 52 card what is the probability that one is a red queen and the other is a king of black colour
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2 cards are drawn from 52 without replacement. Now, consider the event that first card is a black queen , then the second card is a red ace. Its probability is 252∗251=1663. Again, if 1st card is a red queen, the second card is a black ace, its probability is same as before i.e. 1663. Likewise, if the first card is ace (black), the second card is queen (red), its probability is also 1663. And finally it is the same probability 1663 when a red ace is followed by a black queen. Hence, the required probability is 4∗1663=4663
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