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counting and probability intermediate

Problem

Two cards are dealt at random from a standard deck of 52 cards (13 hearts, 13 clubs, 13 spades, and 13 diamonds). What is the probability that the first card is a 6 and the second card is a Queen?
Solution
The probability that the first card is a 6 is . There are then 51 cards remaining, so the probability the second card is a Queen is . The answer is then .
Final answer
\dfrac{4}{663}