Three people get into an empty elevator at the first floor of a building that has 7 floors. Each presses the button for their desired floor. Assume that they are equally likely to want to go to floors 3 through 7 (independently of each other). O 0.0052 O 0.0041 O 0.0017 Floor 2 O 0.0422 Floor 3 1/12 Floor 4 1/12 Floor 5 Probability 1/2 1/12 What is the probability that the buttons for 3 consecutive floors are pressed? Floor 5 1/12 Floor 6 1/12 Floor 7 1/12

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Author:Amos Gilat
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Question 7
Three people get into an empty elevator at the first floor of a building that has 7 floors. Each presses
the button for their desired floor. Assume that they are equally likely to want to go to floors 3
through 7 (independently of each other).
Floor 5
Probability 1/2
1/12
What is the probability that the buttons for 3 consecutive floors are pressed?
O 0.0052
O 0.0041
O 0.0017
O 0.0422
Floor 2
Floor 3
1/12
Floor 4
1/12
Floor 5
1/12
Floor 6
1/12
Floor 7
1/12
Transcribed Image Text:D Question 7 Three people get into an empty elevator at the first floor of a building that has 7 floors. Each presses the button for their desired floor. Assume that they are equally likely to want to go to floors 3 through 7 (independently of each other). Floor 5 Probability 1/2 1/12 What is the probability that the buttons for 3 consecutive floors are pressed? O 0.0052 O 0.0041 O 0.0017 O 0.0422 Floor 2 Floor 3 1/12 Floor 4 1/12 Floor 5 1/12 Floor 6 1/12 Floor 7 1/12
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