School Made Olympiad
20 students participate in a school-made olympiad: everyone has to write a question on a numbered piece of paper (from 1 to 20) and put it in a bag. The students proceed to get their to-be-solved questions by rolling a 20-sided fair dice. Let the probability that no student gets their own question be . Find the value of
Details and Assumptions
One question can be given to many people by the die
The answer is 358.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The probability is ( 2 0 1 9 )^20, because the probability one student will not get his or her own question is 2 0 1 9 , and you take that to the power of 20 to find the probability no student gets his or her own question.
( 2 0 1 9 )^20≈0.358, and 0.358*1000=358.