1. The problem statement, all variables and given/known data A manager must assess the quality of a new batch of 25 components ready for shipping. Rather than assess each component, a sample of 5 is randomly selected and tested. The quality control specification is that if there are 2 or more defectives in the sample, the quality manager must reject the batch. Suppose there are actually 3 defective components in this batch of 25. What is the probability that the batch is rejected? 2. Relevant equations 3. The attempt at a solution So I'm looking for the probability that 2 or 3 defective parts are taken in the sample of 5. I'm having trouble wrapping my head around the problem a bit. I said the probability of choosing all 3 is: (3/25).(2/24).(1/23)=1/2300 What's confusing me is that this has only three picks when there's five parts picked in the sample. Am I missing something here? Any help would be much appreciated.