a salesman know to sell a product in 3 out of 5 attempts while another salesman in 3 out of 4 attempts when they both try to sell the product find the probability .
1.no sale will be effected
2.both of them will sell the product
1
Expert's answer
2013-05-23T10:01:14-0400
A represents the event that the first salesman is able to sell the product. A^c represents the event that the first salesman is not able to sell the product. B represents the event that the second salesman is able to sell the product. B^c represents the event that the second salesman is not able to sell the product. It is given that P(A)=3/5 and P(B)=2/5 Therefore, P(A^c )=1- 3/5=2/5 and P(B^c )=1-2/5=3/5 The required probabilities are calculated as follows: P ( no sale will be affected when they both try to sell the product) = P(A^c B^c )= P(A^c ) P (B^c) (By multiplication theorem) =2/5*3/5 =6/25 = 0.24
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