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?

Click here to see ALL problems on Probability-and-statistics

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:

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: and

John

My calculator said it, I believe it, that settles it