SOLUTION: Hi, I'm wondering, what is least likely to happen:
to pick (randomly from a deck of 52)
all 7's in a deck of cards without replacement and no shuffling
all 7's in a deck without
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Question 475963: Hi, I'm wondering, what is least likely to happen:
to pick (randomly from a deck of 52)
all 7's in a deck of cards without replacement and no shuffling
all 7's in a deck without replacement but with shuffling
all 7's in a deck with replacement and with shuffling
or
to pick all 7's in a deck with replacement and without shuffling?
Which one is the least probable and what is the probability of such an event occurring? Thanks.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Hi, I'm wondering, what is least likely to happen:
to pick (randomly from a deck of 52)
all 7's in a deck of cards without replacement and no shuffling
all 7's in a deck without replacement but with shuffling
all 7's in a deck with replacement and with shuffling
or
to pick all 7's in a deck with replacement and without shuffling?
----
The shuffling has no effect as long as the selections are
made randomly.
----
Replacement does have an effect:
with replacement: (1/13)^4 = 1/28561
---
without replacement: 1/52C4 = 1/270725
===========
Cheers,
Stan H.
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