Question 1099682
the probability of the bag getting through the first inspector is .065.


the probability of the bag that gets through the first inspector getting through the second inspector is 6/15.


the probability of the bag getting through both inspectors is therefore .065 * 6/15 = .026


assume 1000 bags to start.


on average, 6.5% of them will get through the first inspector.


that equates to 65 getting through the first inspector.


of these, 6 out of 15 will get through the second inspector.


that equates to 26 getting through the second inspector.


26 out of 1000 is equal to 2.6%.