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Question

In a single throw of two dice, what is the probability of getting a sum of 10?

A
112
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B
136
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C
16
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D
512
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Solution

The correct option is A 112
Sample ways of 2 dice is
(1,1);(1,2);...;(1,6)
(2,1);(2,2);...;(2,6)
(3,1);(3,2);...;(3,6)
(4,1);(4,2);...;(4,6)
(5,1);(5,2);...;(5,6)
(6,1);(6,2);...;(6,6)
No of ways in which we get sum of number on 2 dice =10 is
(4,6);(5,5);(6,4)=3 ways
Probability of getting a sum of number on dices =10 is
336=112

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