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Two dice are thrown at the same time. What is the probability of obtaining a total of 10?

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112

1136

34

14

answer is A.

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Detailed Solution

Given that two dice are thrown at the same time.
We have to find the probability of obtaining a total of 10.
Probability of an event E is defined as:

P (E) = \frac{Number of favorable outcomes}{Total number of possible outcomes}

The possible outcomes, when a pair of dice is tossed together, are:
Question Image

Total number of possible outcomes will be 36.
According to the question, favorable outcomes result in obtaining a total of 10.
Thus we have:

4, 6, 5, 5, 6, 4

Hence, the number of favorable outcomes = 3.
Let

E

be the event of obtaining a total of 10.
Now, the probability of obtaining a total of 10 is:

P (E) = 336 ⇒ P (E) = 112

Hence, the probability of obtaining a total of 10 is

112

.
Therefore, option 1 is correct.

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