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Question

A dice is rolled once. The following event is described.
A = {Getting 5 or 6}
Which of the following is the complement of A?


A
{1, 2, 5}
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B
{1, 2, 6}
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C
{1, 2, 3}
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D
{1, 2, 3,4}
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Solution

The correct option is B {1, 2, 3,4}
When we throw a dice what can happen?? One of the following numbers will appear.
{1, 2,3,4,5 or 6}
So sample space is {1, 2, 3, 4, 5, 6}
Event A is described as throwing a 5 or 6
So
A = {5,6}
Now complement of A = S – A
{1,2,3,4,5,6} - {5, 6}
{1,2,3,4}
Basically complement of A means not A. So everything in sample space except A is complement of A.

Mathematics

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