A quality-control engineer inspects a random sample of 6 batteries from each lot of 24 car batteries ready to be shipped. such a lot contains 8 batteries with slight defects, what are the probabilities that the inspector's sample will contain: a) 2 of the batteries with defects? b) 6 of the batteries with defects?

a bookstore owner examines 6 books from each lot of 20 to check for missing pages.If he finds at least 3 books with missing pages, the entire lot is returned Mean- Probability

There are three containers, A, B and C. Each container contains 25 balls, which are either red or blue. Container A has 15 red balls, container B has 16 red balls, and container C has 12 red balls. In a random experiment, one first randomly chooses a container, and then a ball is drawn from the chosen container. The probability of choosing container B in step 1 is 2/5 . The experiment is designed so that the events “the ball drawn is red” and “the ball drawn comes from container A” are independent. Suppose that the ball drawn is red. What is the probability that it came from container C?

The vast majority of European vehicles sold in the world (BMW, Audi, Mercedes- Benz, etc...) receive their transmissions from either ZF Friedrichshafen AG or Continental AG. After the acquisition of TRW by ZF, ZF AG supplied 69% of transmissions, and Continental AG supplied 31%. If three European cars are randomly selected, what is the probability that 2 of the cars use ZF transmissions and 1 use Continental AG transmission? Enter your answer in percent terms (for example 12.5% must be entered as 12.5).