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?

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) (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
Sometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try to solve the problem yourself. If there is problem related to concept, contact at
sudhanshu.cochin@gmail.com
Best of luck.......
RELATED QUESTIONS
if 7 cards are dealt from an ordinary desk of 52 playing cards , what is the probability... (answered by Edwin McCravy)

If you are dealt a 5 card hand from a standard deck of 52 playing cards, what is the... (answered by ewatrrr)

If five cards are dealt from a shuffled deck of playing cards (52 cards), what is the... (answered by Alan3354)

If 5 cards are drawn from an ordinary deck of playing cards what is the probability that... (answered by addingup)

Two cards are drawn with replacement from an ordinary deck of 52 playing cards. What is... (answered by stanbon)

Two cards are drawn with replacement from an ordinary deck of 52 playing cards. What is... (answered by edjones)

My Question: If THREE cards are dealt from a 52 card deck, what is the probability that... (answered by natolino_2017,math_helper)

If you are dealt a 5 card hand from a standard deck of 52 playing cards, what is the... (answered by stanbon)

If you are dealt a 5 card hand from a standard deck of 52 pledging cards, what is the... (answered by solver91311)