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We shuffle a deck of cards and deal three cards (without replacement). Find the probability that the first card is a queen, the second is a king, and the third is an ace.

User Anatoliy
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8 votes

Answer:

the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

Explanation:

Given the data in the question;

we know that a deck of cards contains 52 cards

3 cards are dealt out without replacement

probability that first card is queen, the second is king and third is an ace will be;

P(First is a King, second is a Queen, third is an Ace) = [ 4/52 ] × [ 4/51 ] × [4/50]

= 64 / 132,600

= 0.000482655

Therefore, the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

User Samosa
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