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Question

Two dice are thrown simultaneously, the probability that the sum of the numbers is divisible by 3 or 4 is _____.

A
5/36
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B
5/18
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C
5/9
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D
7/36
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Solution

The correct option is C 5/9

Probability shows the relationship between two variables in the form of ratio, percentage or proportion where there the chances of occurrence of one variable is expressed in terms of the other variable which is usually sample space.

The sample space for the given problem is 6x6 = 36

Let the required event be E ( getting a sum of numbers divisible by 3 or 4)

n(E) = 20

Therefore, P( getting a sum of numbers divisible by 3 or 4) = n(E)/S

= 20/36

= 5/9


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