+0  
 
0
52
1
avatar
A fair, six-sided die has two red, two blue and two yellow faces. The die is rolled three times. What is the probability of getting each color once? Express your answer as a common fraction.
 Apr 13, 2020
 #1
avatar+21004 
+1

It doesn't make any difference what the color of the first roll is.

 

The second roll must have a different color than the first roll; this will occur 4 out of 6 times, or 2/3.

 

The third roll must have the last color; this will occur 2 out of 6 times, or 1/3.

 

Multiplying he possibilities together, we get:  1 x (2/3) x (1/3)  =  2/9.

 Apr 13, 2020

29 Online Users

avatar
avatar
avatar
avatar
avatar
avatar
avatar