You draw one card from a standard deck, then another card without replacing the first. Consider the events A: that the first card is a King, B: that the second card is a King. Are these two events A, B independent?  Choose the answer which does not just have the right result, but also the correct reason. None of these answers has the correct reason. No, because the probability to draw two Kings is 1/13^2. No, because the probability to draw a King is always 1/13. Yes, because the probability to draw two Kings is 1/13^2. No, because if A happens, B becomes more unlikely. Yes, because the probability to draw a King is always 1/13.

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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You draw one card from a standard deck, then another card without replacing the first. Consider the events A: that the first card is a King, B: that the second card is a King. Are these two events A, B independent? 
Choose the answer which does not just have the right result, but also the correct reason.


None of these answers has the correct reason.
No, because the probability to draw two Kings is 1/13^2.
No, because the probability to draw a King is always 1/13.
Yes, because the probability to draw two Kings is 1/13^2.
No, because if A happens, B becomes more unlikely.
Yes, because the probability to draw a King is always 1/13.
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