SOLUTION: On a field trip, 4 students bring bag lunches. On the way there, the bag lunches get mixed up. What is the probability that exactly 1 student gets his or her own bag lunch back?
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Question 573887: On a field trip, 4 students bring bag lunches. On the way there, the bag lunches get mixed up. What is the probability that exactly 1 student gets his or her own bag lunch back?
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 !})
For your situation, 
and 
. Plug in the numbers and do the arithmetic.
John
My calculator said it, I believe it, that settles it
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