Sorry.. it was answered wrong due to technical error.
The possible outcomes for dice A is 3,4 & 8 with probabilty 1/3 each.
And the possible outcomes for dice B is 1,5 & 9 with probabilty 1/3 each.
Now, the Prabability that number appear on dice A is greater than dice B = P[ number appear on A is 3].P[ number appear on B is 1] + P[ number appear on A is 4].P[ number appear on B is 1] + P[ number appear on A is 8].P[ number appear on B is 1] + P[ number appear on A is 8].P[ number appear on B is 5]
= 1/3*1/3 +1/3*1/3 +1/3*1/3 +1/3*1/3
=4/9
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