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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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 68E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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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. Player/Player.aspx?cultureld=&theme-math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# MacBook Air Time Remaining: 01:14:57 Next
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. Player/Player.aspx?cultureld=&theme-math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# MacBook Air Time Remaining: 01:14:57 Next
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