With replacement:
(13/52)(13/52)(13/52)(13/52)
=(1/4)^4
= ?
Without replacement:
(13/52)(12/52)(11/52)(10/52)
= ?
Suppose that 4 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 4 are hearts?
Would the answer be 1/4, if I reduce it?
Thanks
3 answers
C(13,4)/C(52/4)
= 715/270725
= 11/4165 or appr .002641
Nonetheless' second answer is not correct, should be
(13/52)(12/51)(11/50)(10/49)
which comes out to the same as my answer above
"drawing" cards usually means that you are holding the cards in your hand, thus they would not be returned after a draw.
= 715/270725
= 11/4165 or appr .002641
Nonetheless' second answer is not correct, should be
(13/52)(12/51)(11/50)(10/49)
which comes out to the same as my answer above
"drawing" cards usually means that you are holding the cards in your hand, thus they would not be returned after a draw.
Thanks for catching the denominator errors.
(Drawing can mean either with or without replacement; depends on the textbook, country, etc. so always good to clarify)
(Drawing can mean either with or without replacement; depends on the textbook, country, etc. so always good to clarify)