SOLUTION: Please help me solve this problem:
Jillene wrapped 5 gifts for her 5 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present?
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Question 576412: Please help me solve this problem:
Jillene wrapped 5 gifts for her 5 cousins. If she gives them out randomly, what is the probability that every cousin gets the right present?
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There are 5! = 5*4*3*2*1 = 120 different ways to hand out gifts, but only one way to hand them out such that every cousin gets the right present.
So the probability is 1/120 which in decimal form is 0.00833333 (so about a 0.833% chance)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ \left(n\cr k\right\)\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where )
is the number of combinations of things taken at a time and is calculated by !})
You want the probability of 5 successes out of 5 trials, i.e. 
. The probability of success on any given trial is 1 out of 5 or 0.2
Hint: \ =\ 1\ \forall\ n\ \geq\ 0\ \in\ \mathbb{Z})
and 
John
My calculator said it, I believe it, that settles it
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