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Old 12-15-2007, 12:53 PM
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WVOtoGO WVOtoGO is offline
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Join Date: Jan 2006
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Quote:
Originally Posted by Kuan View Post
A dog has five puppies. What are the odds that all of them are female?

a) 1/32

b) 1/6?
Kerry is correct.

1 in 32.

It’s a factorial thing.

There’s a 1 in two chance any will be female, so start with the number 2 and do the math:

2x1=2 for the 1 in 2 chance the first one is a female.
Then for the rest of the puppies:
2x2=4 (1 in 4 the second one is a female too)
Then continue:
4x2=8 (for the 3rd puppy being female too)
and so forth for all 5 puppies:
8x2=16 (for the 4th)
and:
16x2=32 (for the 5th)

Thus, 1 in 32 chance of all five being females.

No trick to that.


(Unless I'm totally wrong, in which case, I'm glad I don't own the dog. And you're glad I don't teach math.)
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