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I have two cubes such that, on each cube, three faces are painted red and three faces are painted white. If I roll each of the cubes once, what is the probability that they will land such that there is one red face and one white face up?

 Apr 2, 2021
 #1
avatar+2107 
+1

Hello 

 

Which possibilities satisy this case:

There are 2 possibilities for this to work. 

Rolling a red face, then a white face. 

Or rolling a white face then a red face. 

 

Case 1: (Rolling a red face, then a white face.)

Probability of rolling a red face is 3/6, and probability of rolling a white face is 3/6. 

So the probability of rolling a red face, then a white face is 3/6*3/6 = 1/4

 

Case 2: (Rolling a white face, then a red face.)

Probability of rolling a red face is 3/6, and probability of rolling a white face is 3/6. 

So the probability of rolling a white face, then a red face is 3/6*3/6 = 1/4

 

Addition:

So the probability that either happen is 1/4 + 1/4 = 1/2. 

 

I hope this helped. :))

=^._.^=

 Apr 3, 2021
 #2
avatar+484 
0

Thank you, it was correct!

RiemannIntegralzzz  Apr 3, 2021
 #3
avatar+2107 
0

You're welcome. :))

 

=^._.^=

catmg  Apr 3, 2021

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