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4. In an animal experiment, three mice with dandruff in their hair are washed with hair shampoo. The mice are named Alpha, Bravo and Charlie. From many previous animal experiments, it is known that (i) Alpha, Bravo and Charlie have no dandruff after washing in 30%, 45% respectively 65% in most cases they no longer have dandruff. (ii) The shampoo on Alpha, Bravo or Charlie in 95% of the cases works.

4. In an animal experiment, three mice with dandruff in their hair are washed with hair shampoo. The mice are named Alpha, Bravo and Charlie. From many previous animal experiments, it is known that (i) Alpha, Bravo and Charlie have no dandruff after washing in 30%, 45% respectively 65% in most cases they no longer have dandruff. (ii) The shampoo on Alpha, Bravo or Charlie in 95% of the cases works.

A First Course in Probability (10th Edition)
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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4. In an animal experiment, three mice with dandruff in their hair are washed with hair shampoo. The mice are named Alpha, Bravo and Charlie. From many previous animal experiments, it is known that (i) Alpha, Bravo and Charlie have no dandruff after washing in 30%, 45% respectively 65% in most cases they no longer have dandruff. (ii) The shampoo on Alpha, Bravo or Charlie in 95% of the cases works.
Transcribed Image Text:4. In an animal experiment, three mice with dandruff in their hair are washed with hair shampoo. The mice are named Alpha, Bravo and Charlie. From many previous animal experiments, it is known that (i) Alpha, Bravo and Charlie have no dandruff after washing in 30%, 45% respectively 65% in most cases they no longer have dandruff. (ii) The shampoo on Alpha, Bravo or Charlie in 95% of the cases works.
(iii) The sampoo on Alpha and Bravo has the same probability of working as with Alpha and Charlie. This probability is 10%. (iv) The sampoo on Bravo and Charlie in 40% of cases works. How likely is it that the shampoo will work on all three mice at the same time? Hint: use the principle of inclusion-exclusion
Transcribed Image Text:(iii) The sampoo on Alpha and Bravo has the same probability of working as with Alpha and Charlie. This probability is 10%. (iv) The sampoo on Bravo and Charlie in 40% of cases works. How likely is it that the shampoo will work on all three mice at the same time? Hint: use the principle of inclusion-exclusion
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