The success of a temperamental entrepreneur heavily depends on the outcome of the previous deal. If the previous deal was successful, then the probability of success of the current deal is 3/4. When the previous deal was unsuccessful, the probability that the current deal will be successful 1/4. Suppose the probability of a successful deal at the selected moment is 0,5. Calculate the probability that out of three sequent deals:  a. all three are successful;  b. none are successful;  c. at least two are successful.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The success of a temperamental entrepreneur heavily depends on the outcome of the previous deal. If the previous deal was successful, then the probability of success of the current deal is 3/4. When the previous deal was unsuccessful, the probability that the current deal will be successful 1/4. Suppose the probability of a successful deal at the selected moment is 0,5. Calculate the probability that out of three sequent deals: 

a. all three are successful; 

b. none are successful; 

c. at least two are successful. 

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