We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
57
1
avatar
  1. from the set 1,2,3,4,5 Doug will choose three distinct numbers and Regina will choose three distinct numbers. What is the probability that Doug and Regina will choose exactly two of the same numbers as each other? Express answer as a common fraction.
     
 Oct 26, 2019
 #1
avatar+105668 
+1

from the set 1,2,3,4,5 Doug will choose three distinct numbers and Regina will choose three distinct numbers. What is the probability that Doug and Regina will choose exactly two of the same numbers as each other? Express answer as a common fraction.

 

Let Doug choose his three first.

How many ways can Regina pick hers up.   5*4*3=60

How many ways can Regina pick the first 2 the same and the 3rd diff from Doug     3*2*2=8

But the different one can be picked up 1st 2nd or 3rd   so that is 8*3=24

 

So i think the prob is  24/60   =  2/5

 Oct 26, 2019

29 Online Users

avatar