SOLUTION: Four students bring lunches. All of the lunches get mixed up. What is the probability that exactly one student will get their own lunch?
Algebra ->
Probability-and-statistics
-> SOLUTION: Four students bring lunches. All of the lunches get mixed up. What is the probability that exactly one student will get their own lunch?
Log On
Question 259460: Four students bring lunches. All of the lunches get mixed up. What is the probability that exactly one student will get their own lunch? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Four students bring lunches. All of the lunches get mixed up. What is the probability that exactly one student will get their own lunch?
-------
Binomial problem with n = 4 ; p = 1/4 ; x = 1
----
P(1 gets his own lunch) = 4C1(1/4)(3/4)^3 = 0.4219...
================
Cheers,
stan H.
(