1) Let A and B be events withP(A) = 0.57 ,P(B) = 0.31 , andP(B | A) = 0.60 . FindP(A and B).

Write only a number as your answer. Round to two decimal places (for example: 0.52). Do not write as a percentage.

2) Let A and B be independent events withP(A) = 0.71 andP(B) = 0.22 . FindP(A and B).

Write only a number as your answer. Round to two decimal places (for example: 0.52). Do not write as a percentage.

3) Luis has a coin that is weighted so that the probability that Heads appears when it is tossed is 0.53 . Suppose that the coin is tossed 4 times. What is the probability that all 4 tosses are Heads?

Write only a number as your answer. Round to four decimal places (for example: 0.0325). Do not write a percentage.

4) In a certain high school, the probability that a student drops out is 0.06 , and the probability that a dropout gets a high-school equivalency diploma (GED) is 0.21 . What is the probability that a randomly selected student gets a GED?

Write only a number as your answer. Round to four decimal places (for example: 0.2711). Do not write a percentage.