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 cubeA.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.

Answer:  The correct option is (C). The cardinality of event B’s sample space is 4 greater than event A’s.Step-by-step explanation:  We are given to select the correct statement about the cardinalities of the sample spaces of the following events :Event A : Flipping a coin.Event B : Rolling a standard number cube.We know thatthere are two possible outcomes for the event of flipping a coin, i.e., Head (H) and Tail (T).So, the sample space S for event A is given byS = {H, T}   ⇒    n(S) = 2.And, there are six possible outcomes for the event of rolling a standard number cube, i.e., 1, 2, 3, 4, 5 and 6.So, the sample space S' for event B is given byS' = {1, 2, 3, 4, 5, 6}   ⇒  n(S'} = 6.Therefore, the difference in the cardinalities of the events A and B isn(S') - n(S) = 6 - 2 = 4.Thus, the cardinality of event B’s sample space is 4 greater than event A’s.Option (C) is CORRECT.