SOLUTION: In a supermarket, the probability that the eggs are rotten is 1/5. If Hassan went to the same market and buys 4 eggs. a. Find the probability that at least one egg is rotten. b

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Question 1048562: In a supermarket, the probability that the eggs are rotten is 1/5. If Hassan went to the same market and buys 4 eggs.
a. Find the probability that at least one egg is rotten.
b. Given that at least one egg is rotten, what is the probability that more

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
At least one means 1- p(0) are rotten
1-(0.8)^5=0.67232
Given that at least one egg is rotten, then there are 4 possibilities. The probability that no more are rotten is 1-0.8^4=0.5904.
In this instance, we assume independence of trials. Once one egg is rotten, the chances don't change for another, but the opportunity for it decreases from 5 to 4 trials.

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