Determine whether the events A and B are independent.A balanced die is rolled twice. Event A: The sum of the two rolls is 8 Event B: The first roll comes up 3

Find the indicated probability. Round your answer to 6 decimal places when necessary.Three fair coins are tossed. Find the probability of getting the same thing on all three coins.

Use the at least once rule to find the indicated probability. An unprepared student makes random guesses on all questions of her multiple choice test. If there are 16 questions and each question has 4 possible answers, what is the probability she will answer at least one question correctly?

Decide whether events A and B are overlapping or non-overlapping.A card is drawn at random from a deck of cards. Event A is that the card obtained is a face card and event B is that the card obtained is a spade.

Find the indicated probability. Round your answer to 6 decimal places when necessary.When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is a multiple of 3 or greater than 8.

Find the indicated probability. Round your answer to 6 decimal places when necessary.Among the contestants in a competition are 36 women and 22 men. If 5 winners are randomly selected, what is the probability that they are all men?

Find the indicated probability.The following table show the results of a clinical trial for an allergy drug.  What is the probability that a randomly selected person was given a placebo or improved? Round your answer to the nearest thousandth when necessary.

Use the empirical method to estimate the probability. Round your answer to 2 decimal places when necessary.Of the last 100  people who failed the lie detector test,  23  turned out to be telling the truth. What is the probability that the next person who fails the test is actually telling the truth?

Find the indicated probability. Round your answer to 6 decimal places when necessary.One card is selected from a deck of cards. Find the probability of selecting a black card or a queen.

Find the indicated probability.The following table show the results of a clinical trial for an allergy drug.  What is the probability that a randomly selected person was given a placebo or improved? Round your answer to the nearest thousandth when necessary.