SOLUTION: A red number cube and a green number cube are rolled together. what is the probability that... the red cube shows a 3 and the green cube shows a 5. the red cube shows a prime nu

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Question 536413: A red number cube and a green number cube are rolled together.
what is the probability that...
the red cube shows a 3 and the green cube shows a 5.
the red cube shows a prime number OR the green cube shows a 2.
the sum of the numbers rolled is 1.
the sum of the numbers rolled is 7 OR 11.
the sum of the numbers rolled is less than a OR equal to 10.
Answer by edjones(8007) (Show Source):
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the red cube shows a 3 and the green cube shows a 5.
1/6 * 1/6 = 1/36
.
the red cube shows a prime number OR the green cube shows a 2...
...or both:
R G
----
N Y 1/2 * 1/6 = 1/12
Y N 1/2 * 5/6 = 5/12
Y Y 1/2 * 1/6 = 1/12
-----------------------Add
==============> 7/12
.
...but not both: 1/12 + 5/12 = 1/2
.
the sum of the numbers rolled is 1.
0
.
the sum of the numbers rolled is 7 OR 11.
6/36 + 2/36 = 8/36
.
the sum of the numbers rolled is less than a OR equal to 10.
1 - 3/36 = 33/36 = 11/12
.
Ed