Question: In a game two dice are thrown. Let one die be weighted so that a 2 shows up with probability 3/10, and 3, shows up

In a game two dice are thrown. Let one die be "weighted" so that a 2 shows up with probability 3/10, and 3, shows up with probability 3/10 while its other numbers all have equal probabilities. The same probabilities apply to the other die except the number 1 and number 6 are "weighted." 

Determine the probability the shooter will win outright by having the sum of the numbers showing up be 9?

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