# If two dice are thrown together, what is the probability of obtaining…

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### What Is The Expected Value Of A Dice Roll?

What Is The Expected Value Of A Dic...
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A. 1/12

B. 11/12

C. 5/6

D. 1/6

D

## DETAILS…

A dice is one of those white cubes which is often used to play the Ludo game, it has black dots all around its six faces with one face having 1 dot, another having 2 dots, and 3 dots, and 4, and 5, and 6 dots.

If two dices are thrown together at the same time, here are what you could likely get:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6 …… 2-1, 2-2, 2-3, 2-4, 2-5, 2-6 ……. 3-1, 3-2, 3-3, 3-4, 3-5, 3-6 …… 4-1, 4-2, 4-3, 4-4, 4-5, 4-6 …… 5-1, 5-2, 5-3, 5-4, 5-5, 5-6 …… 6-1, 6-2, 6-3, 6-4, 6-5, 6-6

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This implies that the total possible outcomes = 36

So, if we must determine the combination that will give at least 10 we would have to pick the combination that is greater or equal to 10.

So, we have: 4-6, 6-4, 5-5, 5-6, 6-5, 6-6 = 6 combinations

Recall that Probability = (number of required outcome)/(number of possible outcomes)

Probability = 6/36 = 1/6

### Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is incorrect.
3. C is incorrect.
4. D is the correct answer.

## KEY-POINTS…

• The probability of obtaining at least 10 would mean the probability of having a combination of 10 and above.
• The combinations that will give 10 and above = 4-6, 5-5, 5-6, 6-4, 6-5, 6-6
• These are six combinations.
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