) O 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 diamond B=The second card is a spade O a) Are these two events mutually exclusive? Why or why not? OA. The events are mutually exclusive. The event of selecting a diamond as the first card cannot occur at the same time as selecting a spade as the second card during the experiment. OB. The events are mutually exclusive. The event of selecting a diamond as the first card can occur at the same time as selecting a spade as the second card during the experiment. OC. The events are not mutually exclusive. The event of selecting a diamond as the first card cannot occur at the same time as selecting a spade as the second card during the experiment. OD. The events are not mutually exclusive. The event of selecting a diamond as the first card can occur at the same time as selecting a spade as the second card during the experiment. b) Are these two events independent? Why or why not? C OA. The events are independent. Selecting a diamond the first time does not influence the probability of selecting a spade the second time. OB. The events are independent. Selecting a diamond the first time influences the probability of selecting a spade the second time. OC. The events are not independent. Selecting a diamond the first time influences the probability of selecting a spade the second time. OD. The events are not independent. Selecting a diamond the first time does not influence the probability of selecting a spade the second time.

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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 diamond
B=The second card is a spade
a) Are these two events mutually exclusive? Why or why not?
OA. The events are mutually exclusive. The event of selecting a diamond as the first card cannot occur at the same time as selecting a spade as the second card during the experiment.
OB. The events are mutually exclusive. The event of selecting a diamond as the first card can occur at the same time as selecting a spade as the second card during the experiment.
OC. The events are not mutually exclusive. The event of selecting a diamond as the first card cannot occur at the same time as selecting a spade as the second card during the experiment.
OD. The events are not mutually exclusive. The event of selecting a diamond as the first card can occur at the same time as selecting a spade as the second card during the experiment.
b) Are these two events independent? Why or why not?
OA. The events are independent. Selecting a diamond the first time does not influence the probability of selecting a spade the second time.
OB. The events are independent. Selecting a diamond the first time influences the probability of selecting a spade the second time.
OC. The events are not independent. Selecting a diamond the first time influences the probability of selecting a spade the second time.
O D. The events are not independent. Selecting a diamond the first time does not influence the probability of selecting a spade the second time.
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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 diamond B=The second card is a spade a) Are these two events mutually exclusive? Why or why not? OA. The events are mutually exclusive. The event of selecting a diamond as the first card cannot occur at the same time as selecting a spade as the second card during the experiment. OB. The events are mutually exclusive. The event of selecting a diamond as the first card can occur at the same time as selecting a spade as the second card during the experiment. OC. The events are not mutually exclusive. The event of selecting a diamond as the first card cannot occur at the same time as selecting a spade as the second card during the experiment. OD. The events are not mutually exclusive. The event of selecting a diamond as the first card can occur at the same time as selecting a spade as the second card during the experiment. b) Are these two events independent? Why or why not? OA. The events are independent. Selecting a diamond the first time does not influence the probability of selecting a spade the second time. OB. The events are independent. Selecting a diamond the first time influences the probability of selecting a spade the second time. OC. The events are not independent. Selecting a diamond the first time influences the probability of selecting a spade the second time. O D. The events are not independent. Selecting a diamond the first time does not influence the probability of selecting a spade the second time. esc F1 7 @ 2 F2 #3 80 F3 $ 4 000 000 F4 % 5 F5 www. MacBook Air A 6 F6 & 7 ◄◄ F7 ➤11 8 F8 F9 F10 Time Remaining: 00:58:50 F11 + 11 F12 Next 2
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