Question

The set which is a partition of the sample space we get while throwing a die is

• A. {(1,2),(2,3),(3,4)}
• B. {(1,2),(5,6)}
• C. {(1,2),(1,2,3,4,5,6)}
• D. {(1,2,3,4),(5,6)}

Answer 1

The correct option is D {(1,2,3,4),(5,6)}

To solve this question, we need to know partition of a sample space S. A collection of sets is said to be a partition of a set S if the sets in the collection are disjoint and their union is S.
1) Union gives sample space S = {1,2,3,4,5,6}
2) All of them are disjoint

In {(1, 2, 3, 4), (5, 6)}, no elements are common and the union gives the sample space.
$\Rightarrow$ Partition of sample space.