A sample of 1000 women was polled. The women were asked the question, "How often during the week do you serve a vegetarian (meatless) main dish to your family at dinnertime?" Partial results follow. 6% said 3 or more times a week. 10% said twice a week. 49% said once a week. ___% said never. What is the probability that a woman never serves her family a vegetarian main dish at dinnertime?

A game consists of drawing three cards at random from a deck of 52 playing cards. You win $3 for each red card that is drawn. It costs $2 each time you play. For one play of this game, the sample space S for the net amount you win (after deducting the cost of play) is

You have 12 different paintings available to hang on a wall. Unfortunately, there is only enough room on the wall for five of the paintings. You select 5 paintings from the set of 12 and hang them in a horizontal row, from left to right. Let S = the total number of ordered arrangements you can make in this way. How many outcomes does S contain?

A student takes a four-question quiz. Letting R = right answer and W = wrong answer, the sample space of possible outcomes may be written as follows: RWWW, WRWW, WWRW, WWWR, RRWW, RWRW, RWWR, WRWR, WWRR, WRRW, RRRW, RRWR, RWRR, WRRR, RRRR, WWWW Let A = the event that the student answers at most one question correctly. What outcomes in the sample space are elements of A?

There are four people in a family—a father, a mother, and two children—and they have won two tickets to Disneyland for a week. They decide to select a sample of two people to go on the trip as follows. The mother and father flip a coin to see which of the two of them will go, and they then flip a coin to determine which of the two children will go. The resulting sample is best described as

Suppose we have a "loaded" (unfair) die that gives the outcomes 1 through 6 according to the following probability distribution. P(1) = .1, P(2) = .2, P(3) = .3, P(4) = .2, P(5) = .1, P(6) = .1 If this die is rolled 6000 times, the number of times we get either a 2 or a 3 should be about

You read in a book about poker that the probability of getting a hand containing "four of a kind" is approximately 0.00024. This means that

Students at X University must be in one of four class ranks: freshman, sophomore, junior, or senior. At this university, 35% of the students are freshmen and 30% are sophomores. If a student is chosen at random, the probability that he or she is either a junior or a senior is

In the wild, 400 randomly selected blooming azalea plants are observed and classified according to flower petal color (white, pink, or orange) and whether or not they have a fragrance. The table gives the results. white pink orange Fragrance 22 104 140 No fragrance 98 16 20 If a single azalea plant is selected at random, the probability that it has pink flower petals or no fragrance is

Suppose we toss a fair penny and a fair nickel. Let A be the event that the penny lands heads and B be the event that the nickel lands tails. The events A and B are

In tomato plants, the gene that governs fruit color has two forms (alleles), denoted C and c. Each plant carries a pair of these alleles. If the combination is CC or Cc, then the plant will have red fruit. If it is cc, then the plant will have yellow fruit. When plants are crossed (mated) to produce an offspring, the offspring plant inherits either allele from a "parent" with equal probability 0.5 and inherits alleles independently from each "parent." Suppose that two tomato plants with allele combinations Cc and cc are crossed. The probability that the resulting offspring plant has red fruit is

Among the doctors belonging to a very large health system, 82% carry some type of malpractice insurance. Suppose that we randomly select three doctors from the set of all doctors belonging to the health system. Assuming that the results are independent, the probability that at least one of the three doctors does not carry such insurance is

A friend offers you the following "friendly" gambling game. He'll draw two cards with replacement from a standard deck of 52 cards, then draw two more cards without replacement from a second deck of 52 cards. You are invited to place a bet on one of the two sets of two cards yielding two red cards. What should you do?