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# Probability

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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
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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

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

I hope this helped. :))

=^._.^=

Apr 3, 2021
#2
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Thank you, it was correct!

RiemannIntegralzzz  Apr 3, 2021
#3
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You're welcome. :))

=^._.^=

catmg  Apr 3, 2021