Reference no: EM132388414
Salespersons Adams and Jones call on three and four customers, respectively, on a given day. Adams could make 0, 1, 2, or 3 sales, whereas Jones could make 0, 1, 2, or 3 sales. The sample space listing the number of possible sales for person on a given day is given in the following table. Here (0, 1) stands for 0 sales by Adams and 1 sale by Jones. Assume that each sample point is equally likely.
Jones Adams 0------1------2------3
0 {0, 0} {1, 0} {2, 0} {3, 0}
1 {0, 1} {1, 1} {2, 1} {3, 1}
2 {0, 2} {1, 2} {2, 2} {3, 2}
3 {0, 3} {1, 3} {2, 3} {3, 3}
Let us define the events:
A = each made the same number of sales
B = Adams made exactly one sale
1. List the sample space for Event A and event B.
2. Find the total number of the sample space. S(n) =
3. Find the following probabilities:
(1) P(A) =
(2) P(B) =
(3) P(A∩B) =
(4) P(A∪B) =
(5) P(A|B) =
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