Probability-1

Discrete Mathematics Level 5

Tiles in a bag are numbered from \( \left\{ 0,1,2,3,4,\ldots,98,99 \right\}.\) Two tiles with the numbers \(a\) and \(b\) are randomly drawn from the bag with replacement. What is the probability that the number \(3^a+7^b\) has a digit equal to \(8\) at the unit place?

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