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Two dice are thrown simultaneously. What is the probability of obtaining sum that is at least 12?


1. 35/36
2. 1/36
3. 1/6
4. 1/3
5. None of these

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Correct Answer - Option 2 : 1/36

Given:

Two dice are thrown simultaneously.

Concepts used:

A fair die is numbered from 1 to 6 with probability of coming of each number being 1/6.

Total number of outcomes on roll of two dice = 36

Calculation:

Getting a total of at least 12 means getting a total of 12 or total equal to more than 12.

⇒ Number of outcomes with total of 12 or more than 12 on two dice = (6, 6) = 1

⇒ Probability of getting a total of at least 12 = 1/36

∴ Probability of getting a total of at least 12 is 1/36.

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