Let S D f1; 2; 3; 4; 5; 6g and P .x/ D 1 6 for all x 2 S. For this sample space, find a
Chapter 32, Problem 32.22(choose chapter or problem)
Let S D f1; 2; 3; 4; 5; 6g and P .x/ D 1 6 for all x 2 S. For this sample space, find a pair of events A and B such that (a) 0 < P .A/ < 1, (b) 0 < P .B/ < 1, and (c) A and B are independent. Next, show that if we were to change the sample space to .S; P / with S D f1; 2; 3; 4; 5g and P .x/ D 1 5 for all x, then no such pair of events can be found.
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