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 black card a) Are these two events mutually exclusive? Why or why not? OA. 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 black card as the second card during the experiment. OB. 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 black card as the second card during the experiment. OC. 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 black card as the second card during the experiment. OD. 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 black card as the second card during the experiment. b) Are these two events independent? Why or why not? O A. The events are not independent. Selecting a red card the first time does not influence the probability of selecting a black card the second time. OB. The events are independent. Selecting a red card the first time does not influence the probability of selecting a black card the second time. OC. The events are not independent. Selecting a red card the first time influences the probability of selecting a black card the second time. OD. The events are independent. Selecting a red card the first time influences the probability of selecting a black card the second time.
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 black card a) Are these two events mutually exclusive? Why or why not? OA. 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 black card as the second card during the experiment. OB. 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 black card as the second card during the experiment. OC. 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 black card as the second card during the experiment. OD. 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 black card as the second card during the experiment. b) Are these two events independent? Why or why not? O A. The events are not independent. Selecting a red card the first time does not influence the probability of selecting a black card the second time. OB. The events are independent. Selecting a red card the first time does not influence the probability of selecting a black card the second time. OC. The events are not independent. Selecting a red card the first time influences the probability of selecting a black card the second time. OD. The events are independent. Selecting a red card the first time influences the probability of selecting a black card the second time.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 black card
a) Are these two events mutually exclusive? Why or why not?
I
OA. 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 black card as the second card during the experiment.
OB. 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 black card as the second card during the experiment.
C. 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 black card as the second card during the experiment.
O D. 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 black card as the second card during the experiment.
b) Are these two events independent? Why or why not?
OA. The events are not independent. Selecting a red card the first time does not influence the probability of selecting a black card the second time.
OB. The events are independent. Selecting a red card the first time does not influence the probability of selecting a black card the second time.
OC. The events are not independent. Selecting a red card the first time influences the probability of selecting a black card the second time.
OD. The events are independent. Selecting a red card the first time influences the probability of selecting a black card the second time.
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