+0  
 
0
34
2
avatar

Two distinct numbers are selected simultaneously and at random from the set {1,2,3,4,5,6} . What is the probability that the smaller one divides the larger one? Express your answer as a common fraction.

 Apr 21, 2022
 #1
avatar+125 
-2

6 C 2 =15 combinations as follows:

 

{1, 2} | {1, 3} | {1, 4} | {1, 5} | {1, 6} | {2, 3} | {2, 4} | {2, 5} | {2, 6} | {3, 4} | {3, 5} | {3, 6} | {4, 5} | {4, 6} | {5, 6} (total: 15)

 

Probability = 8 / 15

 Apr 21, 2022
 #2
avatar+122388 
+1

 

1 divides   5  other integers

2 dvides    2  other integers

3 divides   1  other integer

 

We have  C(6, 2)   =  15 possible outcomes

 

The probability =   8  / 15

 

 

cool cool cool

 Apr 21, 2022

14 Online Users

avatar
avatar