determine the probability when two dice are rolled:

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determine the probability when two dice are rolled:
a) rolling doubles given that the sum is 8
Answer:20%
please attach your answer with full procedures.thanks!

there are following situations
let's take a look at only one dice first
the possibilty of rolling each number equals to the others
so the possibility of rolling an expected number is one-sixth
then let's look at the situations
first situation:2+6
the possibility is:1/6*1/6*2=1/18
here we should multiply 2 for you can't decide which of the dices rolls a certain number
second situation:3+5
the possibility:1/6*1/6*2=1/18
third situation:4+4
the possibility:1/6*1/6=1/36
so the answer should be 5/36
not 20%
you've got a wrong answe

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