SOLUTION: if 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at least one of them will be a queen?

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Question 355239: if 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at least one of them will be a queen?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
No. of queen in deck = 4
no. of cards other than queen = 48
no. of ways to select 7 cards from 52 = 52C7
no. of ways to select 7 cards from 48 = 48C7

probability of no queen = 48C7 / 52C7

= 4257/7735
now, the probability of at least one queen = 1 - 4257/7735

= 3478/7735
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