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

A. The cardinality of event A's sample space is 8 greater than event B's.

B. The cardinality of event B's sample space is 8 greater than event A's.

C. The cardinality of event B's sample space is 4 greater than event A's.

D. The cardinality of event A's sample space is 7 greater than event B's.

Question

Ella Merritt

Mathematics

31 May, 14:58

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

A. The cardinality of event A's sample space is 8 greater than event B's.

B. The cardinality of event B's sample space is 8 greater than event A's.

C. The cardinality of event B's sample space is 4 greater than event A's.

D. The cardinality of event A's sample space is 7 greater than event B's.

+3

Answers (1)

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Tasha · Answer 1

Option C. The cardinality of event B's sample space is 4 greater than event A's.

Step-by-step explanation:

The cardinality of of the sample spaces of the events means that, the number of possible outcomes of an event.

Here there are two events,

Event A: Flipping a coin

Event B: Rolling a standard number cube

Cardinality of event A

In the case of event A, number of possible outcomes are Head and Tail

cardinality = 2

Cardinality of event B

In the case of event A, number of possible outcomes are 1,2,3,4,5, and 6

cardinality = 6

The cardinality of event B's sample space is 4 greater than event A's.

Therefore the correct answer is option C