Two dice are thrown simultaneously What is the probability of getting the sum of the face number is ...........

Quantitative Aptitude ( CCS) Probability

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Two dice are thrown simultaneously. What is the probability of getting the sum of the face number is at least 10?

1/6

1/3

2/3

5/6

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Explanation:

In a simultaneous throw of two dice, we have n(s) = 6 x 6 = 36
Let E = event of getting two number whose sum is at least 10.
Then E = { (4,6), (5,5), (5,6), (6,4), (6,5), (6,6) }
therefore, n(E) = 6
And P(E) = p( getting two numbers whose sum is at least 10)
P(E) = n(E)/n(s) = 6/36 = 1/6

Hence, option 1 is the correct answer.