Two dice are thrown together. Find the probability that the product the number on the top of the dice is
(i) 6 (ii) 12 (iii) 7

Explanation

To solve the problem of finding the probability that the product of the numbers on the top of two thrown dice is less than certain values, we will follow these steps:

### Step 1: Determine Total Possible Outcomes
When two dice are thrown, each die has 6 faces. Therefore, the total number of possible outcomes when throwing two dice is:
\[ \text{Total outcomes} = 6 \times 6 = 36 \]

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