Consider a standard 52-card deck from which one card is randomly selected and not replaced. Then,...
Consider a standard 52-card deck from which one card is randomly selected and not replaced. Then, a second card is randomly selected. Define the two events as given. Complete parts a) and b) below.
|
A= |
The first card is a red card |
|
B= |
The second card is a king |
a) Are these two events mutually exclusive? Why or why not?
A.The events are mutually exclusive. The event of selecting a red card as the first card can occur at the same time as selecting a king as the second card during the experiment.
B.The events are mutually exclusive. The event of selecting a red card as the first card cannot occur at the same time as selecting
a king as the second card during the experiment.
C.The events are not mutually exclusive. The event of selecting a red card as the first card can occur at the same time as selecting a king as the second card during the experiment.
D.The events are not mutually exclusive. The event of selecting a red card as the first card cannot occur at the same time as selecting a king as the second card during the experiment.
b) Are these two events independent? Why or why not?
A.The events are independent. Selecting
a red card the first time does not influence the probability of selecting a king the second time.
B.The events are not independent. Selecting a red card the first time influences the probability of selecting a king the second time.
C.The events are independent. Selecting a red card the first time influences the probability of selecting a king the second time.
D.The events are not independent. Selecting a red card the first time does not influence the probability of selecting a king the second time.
Homework Answers
a) option C is correct
C.The events are not mutually exclusive. The event of selecting a red card as the first card can occur at the same time as selecting a king as the second card during the experiment.
b)
A.The events are independent. Selecting
a red card the first time does not influence the probability of selecting a king the second time.
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