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Suppose SDSU decides to use a lottery to determine the order in which sophomore students get to select which dorms they get to live in. They decide to draw names out of a hat to decide the order. Once a name is drawn out of the hat, it is not replaced in the hat. Suppose there are 5,000 students in total. Let A₁ be defined as the event where you get the first pick, let A₂ be defined as the event where you get the second pick, and A, be defined as the even where you get the kth pick. Are A₁ and A2 disjoint events? No, because both events have an equal probability of occuring. No, because P(A₁ or A₂) = 0 Yes, because the events are independent Yes, because P(A₁ and A₂) = 0.

Suppose SDSU decides to use a lottery to determine the order in which sophomore students get to select which dorms they get to live in. They decide to draw names out of a hat to decide the order. Once a name is drawn out of the hat, it is not replaced in the hat. Suppose there are 5,000 students in total. Let A₁ be defined as the event where you get the first pick, let A₂ be defined as the event where you get the second pick, and A, be defined as the even where you get the kth pick. Are A₁ and A2 disjoint events? No, because both events have an equal probability of occuring. No, because P(A₁ or A₂) = 0 Yes, because the events are independent Yes, because P(A₁ and A₂) = 0.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose SDSU decides to use a lottery to determine the order in which sophomore students get to select which dorms they get to live in. They decide to draw names out of a hat to decide the order. Once a name is drawn out of the hat, it is not replaced in the hat. Suppose there are 5,000 students in total. Let A₁ be defined as the event where you get the first pick, let A₂ be defined as the event where you get the second pick, and Ax be defined as the even where you get the kth pick. Are A₁ and A2 disjoint events? No, because both events have an equal probability of occuring. No, because P(A₁ or A₂) = 0 Yes, because the events are independent O Yes, because P(A₁ and A₂) = 0
Transcribed Image Text:Suppose SDSU decides to use a lottery to determine the order in which sophomore students get to select which dorms they get to live in. They decide to draw names out of a hat to decide the order. Once a name is drawn out of the hat, it is not replaced in the hat. Suppose there are 5,000 students in total. Let A₁ be defined as the event where you get the first pick, let A₂ be defined as the event where you get the second pick, and Ax be defined as the even where you get the kth pick. Are A₁ and A2 disjoint events? No, because both events have an equal probability of occuring. No, because P(A₁ or A₂) = 0 Yes, because the events are independent O Yes, because P(A₁ and A₂) = 0
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