Discuss the below:
Q1) In a (poorly run) widget factory, it is known that 25% of all products off the line will be defective. A random sample of 5 widgets is taken on a certain day. What is the probability that all of the widgets are defective? What is the probability that none are defective?
Q2) A coin is flipped 5 times in a row. What is the probability that it will come up tails all five times? What is the probability that it will come up tails exactly 4 times?