Question

What can be said about the cardinalities of the sample spaces of the events below? Event A: Flipping a coin Event B: Rolling a standard number cube

Answer 1

The cardinality of a sample space means the size of the sample space.
Event A: There are only 2 possible outcomes. Cardinality is 2.
Event B: There are 5 possible outcomes. Cardinality is 6.

Answer 2

Cardinality of Event A=2 and of Event B=6

Explanation:

Event A:Flipping a coin

There are only 2 possible outcomes (head or tail).

Hence, cardinality is 2.

Event B: Rolling a standard number cube

There are 6 possible outcomes (1,2,3,4,5 or 6).

Hence, cardinality is 6.

Hence, Cardinality of Event A=2 and of Event B=6