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26 July, 07:38

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.

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  1. 26 July, 10:52
    0
    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
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