SOLUTION: Each day the probability that it will rain on a tropical island is seven out of eight days. What is the probability that it will rain exactly 6 out of eight days on the tropical is

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Question 1180096: Each day the probability that it will rain on a tropical island is seven out of eight days. What is the probability that it will rain exactly 6 out of eight days on the tropical island in question?
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.

The post is worded in a  "bla-bla-bla"  style,  so I will start from reformulating it in a way as it should be pronounced. 

    Each day the probability that it will rain on a tropical island is  7%2F8. 
    What is the probability that it will rain exactly 6 out of eight days on the tropical island in question?


                    Solution 


It is the binomial type probability distribution.


The number of trial n= 8; the probability of the success trial is  7%2F8,  and the number of success trial k = 6. 


    P = C%5B8%5D%5E6%2A%287%2F8%29%5E6%2A%281-7%2F8%29%5E%288-6%29 = %28%288%2A7%29%2F%281%2A2%29%29%2A%287%2F8%29%5E6%2A%281%2F8%29%5E2 = 0.1963 (rounded).     ANSWER

Solved.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.


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