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.

Find the indicated probability.You toss four coins and record the number of tails. You repeat this many times. The results are shown below.  Result Frequency 0 tails 3 1 tail 6 2 tails 14 3 tails 2 4 tails 1 Find the empirical probability of getting 4 tails. Round your answer to the nearest thousandth.

Use the at least once rule to find the indicated probability. The probability of winning $20 in a particular lottery is 0.03. What is the probability that you will get at least one $20 winner if you buy 20 tickets?

Use the at least once rule to find the indicated probability. Find the probability of at least one 3 in 9 rolls of a fair die.

Determine whether the events A and B are independent.Two cards are selected at random from a standard deck of 52 cards without replacement.  Event A: An ace is selected on the first drawEven B: An ace is selected on the second draw

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.