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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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.