+0  
 
0
58
1
avatar

6 people each choose a number at random from 1 to 4.  What is the probability that at least five people choose the same number?

 Dec 24, 2020
 #1
avatar
0

I'll pretend you are rolling 6   four sided dice

  say you roll 5   'ones'     there are 6 ways to do this

                      5   twos       6 ways

                      5  threes      6 ways

                       5 fours        6 ways

so 24 ways to roll   five-of- a kind

   now you can also roll 6 of a kind     four ways   :       four ones    four twos   four threes  or  four fours

 

so    24 ways to roll 5 of a kind    + 4 ways to roll 6 of a kind = 28 rolls

 

the number of possible rolls is 46  = 4096

   28 / 4096 = 7/1024 = 0.0068359375                        (I think)

 Dec 25, 2020

26 Online Users