6. A soap manufacturer has decided to market two new brands. conditions and a review of the firm's past successes and failures with new brands have led the An analysis of current market manufacturer to believe that the simple events and the probabilities of their occurrence in this marketing experiment are as shown in the table (where S means the brand succeeds and F means the brand fails in the first year). In each simple event in the table the first letter indicates the year one outcome for Brand I and the second letter indicates the year one outcome for Brand II. PROBABILITIES SIMPLE EVENTS SS SF FS FF 0.09 0.21 0.21 0.49 A: {Both brands are successful in the first year} B: {At least one new brand is successful in the first year} Find P(A) and P(B).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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6. A soap manufacturer has decided to market two new brands. An analysis of current market
conditions and a review of the firm's past successes and failures with new brands have led the
manufacturer to believe that the simple events and the probabilities of their occurrence in this
marketing experiment are as shown in the table (where S means the brand succeeds and F means the
brand fails in the first year). In each simple event in the table the first letter indicates the year one
outcome for Brand I and the second letter indicates the year one outcome for Brand II.
PROBABILITIES
SIMPLE EVENTS
SS
SF
FS
FF
0.09
0.21
0.21
0.49
A: {Both brands are successful in the first year}
B: {At least one new brand is successful in the first year}
Find P(A) and P(B).
Transcribed Image Text:6. A soap manufacturer has decided to market two new brands. An analysis of current market conditions and a review of the firm's past successes and failures with new brands have led the manufacturer to believe that the simple events and the probabilities of their occurrence in this marketing experiment are as shown in the table (where S means the brand succeeds and F means the brand fails in the first year). In each simple event in the table the first letter indicates the year one outcome for Brand I and the second letter indicates the year one outcome for Brand II. PROBABILITIES SIMPLE EVENTS SS SF FS FF 0.09 0.21 0.21 0.49 A: {Both brands are successful in the first year} B: {At least one new brand is successful in the first year} Find P(A) and P(B).
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