1. The problem statement, all variables and given/known data One box of eggs has 12 eggs. The probability of all eggs being good is 70%. The probability of one being bad is 20%. The probability of two being bad
1. The problem statement, all variables and given/known data One box of eggs has 12 eggs. The probability of all eggs being good is 70%. The probability of one being bad is 20%. The probability of two being bad is 10%. Given that 2 randomly selected eggs are good, what is the probability that all the eggs will be good? 2. Relevant equations 3. The attempt at a solution According to bayes theorem, P(all good | random 2 are good) = ( P(random 2 are good | all good) * P(all good) ) / P(random two are good) Now, P(random 2 are good | all good) = P(random 2 are good <and> all good) / P(all good) => " P(random 2 are good <and> all good) " are dependent events. Can't seem to figure out how to get around this.