Let .S; P / be a sample space with S D f1; 2; 3; 4; 5g and P .1/ D 0:1; P .2/ D 0:1; P

Chapter 32, Problem 32.1

(choose chapter or problem)

Let .S; P / be a sample space with S D f1; 2; 3; 4; 5g and P .1/ D 0:1; P .2/ D 0:1; P .3/ D 0:2; P .4/ D 0:2; and P .5/ D 0:4: Here we list several pairs of events A and B. In each case, please calculate P .AjB/. a. A D f1; 2; 3g and B D f2; 3; 4g. b. A D f2; 3; 4g and B D f1; 2; 3g. c. A D f1; 5g and B D f1; 2; 5g. d. A D f1; 2; 5g and B D f1; 5g. e. A D f1; 2; 3g and B D f1; 2; 3g. f. A D f1; 2; 3g and B D f4; 5g. g. A D ; and B D f1; 3; 5g. h. A D f1; 3; 5g and B D ;. i. A D f1; 2; 3; 4; 5g and B D f1; 3g. j. A D f1; 3g and B D f1; 2; 3; 4; 5g.

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