Probability Questions and Answers

Use the pattern in Pascal's triangle to find the probability of getting 2 heads when five fair coins are tossed. The probability of getting 2 heads when five fair coins are tossed is

Sophia is considering buying a dress and a necklace. The probability she will buy a red dress is 0.2, and similarly, it is 0.4 for a blue dress. There is a 10% chance she will buy a necklace. Find the probability of buying at least one of the previous items, given that she will buy at most one dress, and buying a necklace is independent of buying a dress. Assume Event A: she buys a red dress; Event B: she buys a blue dress; Event C: she buys a necklace.

Use a stem-and-leaf plot to display the data, which represent the scores of a biology class on a midterm exam Describe any patiems 75 85 90 80 87 67 82 83 95 91 71 80 84 92 94 68 75 91 95 87 76 91 85 69 Determine the leaves in the stem-and-leaf plot below Key: 3/3=33 What best describes the data? A. Most of the scores are in the 60s and 70s B. Most of the scores are in the 70s and 80s C. Most of the scores are in the 80s and 90s D. The scores are evenly spread from the 60s to the 90s

Find the probability that at least 3 tails occured when 5 fair coins are tossed. The probability that at least 3 are tails is (Type an integer or decimal rounded to the nearest thousandth as needed.)

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. If we repeatedly obtain random samples of 100 adults, what will be the mean of the sampling distribution of sample proportions? Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. .20 .80 .10

Packaging Idaho Produce Company ships potatoes to its distributors in bags whose weights are normally distributed with a mean weight of 50 pounds and a standard deviation of .5 pounds. If a bag of potatoes is selected at random from a shipment, what is the probability that it weighs: a.) More than 51 pounds b.) Less than 49 pounds c.) Between 49 and 51 pounds

The odds against the horse Bucksnot winning the race are 8:15. What is the probability that Bucksnot will win the race?

A single card is drawn from a standard deck of 52 cards. What are the odds in favor of drawing an odd numbered card?

The scores on a driver's test are normally distributed with a mean of 100. Find the score that is: Find the score that is 2 standard deviations below the mean, if the standard deviation is 17. 83 117 66 134

You are taking a multiple-choice test that has 6 questions. Each of the questions has 3 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions? You can answer the questions in ways.

Two dice, one green and one yellow, are rolled. Find the conditional probability. (Enter your probability as a fraction.) The sum is 3, given that the dice do not have the same parity. Enter a fraction, Integer, or exact decimal. Do not approximate. Say whether the indicated pair of events is independent. The events are dependent. The events are independent.

DIRECTORY ASSISTANCE - AN ARTICLE IN USA TODAY STATED THAT "INTERNAL SURVEYS PAID FOR BY DIRECTORY ASSISTANCE PROVIDERS SHOW THAT EVEN THE MOST ACCURATE COMPANIES GIVE OUT WRONG NUMBERS 15% OF THE TIME." ASSUME THAT YOU ARE TESTING SUCH A PROVIDER BY MAKING 10 REQUESTS AND ALSO ASSUME THAT THE PROVIDER GIVES THE WRONG TELEPHONE NUMBER 15% OF THE TIME. FIND THE PROBABILITY OF GETTING ONE WRONG NUMBER.

A disc jockey (DJ) has 10 songs to play. Three are slow songs, and 7 are fast songs. Each song is to be played only once. a) In how many ways can the DJ play the 10 songs if the songs can be played in any order? b) In how many ways can the DJ play the 10 songs if the first song must be a slow song and the last song must be a slow song? c) In how many ways can the DJ play the 10 songs if the first two songs must be fast songs? a) If the songs can be played in any order, the DJ can play the 10 songs in different ways. (Type a whole number.) b) If the first song must be a slow song and the last song must be a slow song, the DJ can play the 10 songs in different ways. (Type a whole number.) c) If the first two songs must be fast songs, the DJ can play the 10 songs in different ways. (Type a whole number.)

A bag has 5 red, 6 green, and 4 orange balls. If a ball is randomly selected from the bag, what is the theoretical probability that it is the color specified in parts (a) through (d). a) green b) not green c) orange d) not orange a) P(green) = (Type an integer or a simplified fraction.) b) P(not green) = (Type an integer or a simplified fraction.) c) P(orange) = (Type an integer or a simplified fraction.) d) P(not orange) = (Type an integer or a simplified fraction.)

You randomly select one card from a 52-card deck. Find the probability of selecting a red five or a black nine. The probability is (Type an integer or a fraction. Simplify your answer.)

Casey is going to wear a gray sportcoat and is trying to decide what tie he should wear to work. In his closet, he has 20 ties, 12 of which he feels go well with the sportcoat. If Casey selects one tie at random, determine the probablity and the odds of the tie going well or not going well with the sportcoat. The probability the tie goes well with the jacket is (Simplify your answer. Type an integer or a fraction.) The probability the tie will not go well with the jacket is (Simplify your answer. Type an integer or a fraction.) The odds against the tie going well with the jacket is (Simplify your answer. Type a ratio using a colon.) The odds in favor of the tie going well with the jacket is (Simplify your answer. Type a ratio using a colon.)

A bag contains 8 black chips and 4 white chips. Dexter and Thanh play the following game. Dexter randomly selects one chip from the bag. If the chip is black, Dexter gives Thanh $5. If the chip is white, Thanh gives Dexter $12. a) Determine Dexter's expectation. b) Determine Thanh's expectation. a) Dexter's expectation is dollars. (Round to the nearest cent as needed.). b) Thanh's expectation is dollars. (Round to the nearest cent as needed.)

There are 35 chocolates in the candy box, all identically shaped. 5 are filled with coconut, 5 with caramel, 10 with orange cream, and 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting: an orange cream filled chocolate followed by a solid chocolate. Select the correct answer below: 4/245 6/245 19/245 23/245 None Of The Above

You have five paintings that you want to hang on your wall, but space for only three. There is a certain one that you want in the middle. What are your chances of getting the display you want if you simply give the instruction, "hang three of the paintings on the wall"? 1/5 1/4 1/6 1/3

Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.711 and without a popcorn coupon is 0.289. If you buy 21 movie tickets, we want to know the probability that more than 14 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)

100 people were surveyed and their dominant hand and eye color were recorded. The data is summarized in the table below. Eye Color Dominant Hand Blue Brown Green Other Total Right Handed 23 51 9 10 93 Left Handed 2 3 1 1 7 Total 25 54 10 11 100 Find the probability that a randomly selected person is either left handed or has green eyes. Round your answer to 2 decimal places. Your Answer:

A manager has just received the expense checks for six of her employees. She randomly distributes the checks to the six employees. What is the probability that exactly five of them will receive the correct checks (checks with the correct names)? Multiple Choice 1 1/2 1/6 0 1/3

It is very common for a television series to draw a large audience for special events or for cliff-hanging story lines. Suppose that on one of these occasions, the special show drew viewers from 38.2 percent of all US TV households. Suppose that three TV households are randomly selected. What is the probability that exactly one of the three households viewed the special show? Multiple Choice 0.146 0.084 0.438 0.382 0.056

In a large population, about 10% of people do not like the taste of cilantro, an herb used in cooking. A researcher takes a random sample of 15 people and surveys whether they like cilantro. Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro. Identify the following information required to find the probability of people who do not like the taste of cilantro.

The probability that a child will learn to swim before age 6 is 0.312. If you take a group of 12 children, what is the probability that 1 or fewer of the children will learn to swim before age 6? (Round your answer to 3 decimal places if necessary.)

If a product is made using five individual components, and P(product meets specifications) = P(E)= .98, what is the probability of an individual component meeting specifications, assuming that this probability is the same for all five components? 0.98 0.996 0.004 0.02 0.904

A machine is made up of 3 components: an upper part, a middle part, and a lower part. The machine is then assembled. 5 percent of the upper parts are defective, 4 percent of the middle parts are defective, and 1 percent of the lower parts are defective. What is the probability that a machine is not defective? 0.1000 0.9029 0,8000 0.0002 0.7209

Five balls, numbered 1, 2, 3, 4, and 5, are placed in a bin. Two balls are drawn at random without replacement. What is the probability that the sum of the numbers on the balls drawn is 7?

Multiple Choice O An ad agency is developing a campaign to promote a business opening in a new mall development. To develop an appropriate mailing list, they decide to purchase lists of credit card holders from MasterCard and American Express. Combining the lists, they find the following: 40 percent of the people on the list have only a MasterCard and 10 percent have only an American Express card. Another 20 percent hold both MasterCard and American Express. Finally, 30 percent of those on the list have neither card. Suppose a person on the list is known to have a MasterCard. What is the probability that person also has an American Express card? O O .20 .33 .18 .70 Help .90 Save & Exit Submit

Multiple Choice In a local survey, 100 citizens indicated their opinions on a revision to a local land-use plan. Of the 62 persons giving favorable responses, 40 were males. Of the 38 giving unfavorable responses, 15 were males. If one citizen is randomly selected, find the probability that person is female or has an unfavorable opinion. 0.83 0.17 0.51 0.60 0.61 # Save & Exit Next Submit

Help Save & Exit New car owners were asked to evaluate their experiences in buying a new car during the past 12 months. In the survey, the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): Subaru, Honda, and Buick. Assuming that each set of rankings is equally likely, what is the probability that owners ranked Subaru first and Honda second? Multiple Choice 1/3 1/6 1/2 5/6 Subn

A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not defective? Multiple Choice O 0.3333 0.2545 0.5000 0.2963 0.0370

When generating a sample space, a table is most effective when Select one: a. there is one event, because it shows the likelihood for different outcomes. b. there are two events, because it shows the likelihood for different outcomes. c. there is one event, because it shows the total number of events. d. there are three events, because it shows the total number of events.

Suppose you play a game in which a fair 6-sided die is rolled once. If the outcome of the roll (The number of dots on the side facing upward) is a six, you win $6+m. If you roll a Three, four or five, you win $ 8+m. If you roll a one, or two, you lose $10+m. Let X be the profit from the game (or the amount of money won or lost per roll) Negative profit corresponds to lost money. a. What is the profit, X, if the outcome of the roll is 3? b. Fill out the following probability distribution table in your booklet c. Computer the mean of X, (the expected profit or loss, E(X)). d. Explain the meaning of the expected value of X in the context of this problem. e. If you played this game 100 times, how much would you expect to win or lose?

In a major midwestern university, 55 percent of all undergraduates are female. 25 percent of all undergraduates belong to a Greek organization (fraternity or sorority), and 40 percent of all males belong to a Greek organization. What is the probability that one randomly selected undergraduate will be either a female or belong to a Greek organization?

A standard deck of cards contains 52 cards. There are four suits (spades, clubs, hearts, and diamonds) and thirteen of each suit (2-10, jack, queen, king, ace). One card is selected at random from the deck. What is the probability of drawing a King of Spades or a 5 from a normal desk of cards. Select one: a. 3% b. 33% c. 31% d. 10%

An experiment is conducted with numbers. Let the 5 be the sample space. S = (1. 2. 3. 4. 5. 6. 7. 8.9. 10. 11. 12) with events E = (2. 3. 4. 5. 6. 7) F = (5, 6, 7, 8, 9) G = (9, 10, 11, 12) H = (2,3,4) Assume each outcome is equally likely. On your paper. list the outcomes in E and F. E and F are E and F have outcomes in common.

This problem is worth 3 points extra credit if answered correctly Suppose a survey of adults revealed that 30% of people polled like carrots 40% of people polled like peas 25% of people polled like both peas and carrots Find the proportion of people who don't like peas given that they like carrots? .40 0 .65 .50 .167 .30 0.05 .333

For the birthday party, a bowl of chocolate candy was set out. Before guests arrived, the candy bars were counted and guests played a probability game. What is the probability of choosing and eating two Snickers in a row? Round to the nearest hundredth

If P(AUB) = 1 and P(AnB)=0, then which statement is true? A) A and B are both empty events. C) A and B are supplementary events. B) A and B are reciprocal events. D) A and B are complementary events.

Each face of 2 cubes with faces numbered from 1 through 6 has a 1/6 chance of landing up when the 2 cubes are tossed. What is the probability that the sum of the numbers on the faces landing up will be less than 6 ?

A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles. Find the probability of drawing a red marble, then drawing a yellow marble, then a blue marble without replacement. Simplify your answer.

The mean percent of childhood asthma prevalence in 43 cities is 2.08%. A random sample of 34 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.3%? Interpret this probability. Assume that o= 1.25%. The probability is 0.1524. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) OA. About % of samples of 34 cities will have a mean childhood asthma prevalence greater than 2.08%. % of samples of 43 cities will have a mean childhood asthma prevalence greater than 2.3%. OB. About OC. About % of samples of 34 cities will have a mean childhood asthma prevalence greater than 2.3%. SIXB

A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 2 or greater than 6 in a single spin? 2 3/5 1/2 2/5

At the county fair there is a game with 4 yellow slots, 3 red slots and 1 blue slot. A player gets one chance to drop a coin from the top of a board to land in any of the eight slots below. If the coin lands on yellow, the player wins $2. If the coin lands on red, the player wins $7. If the coin lands on blue, the player wins $15. How much should be charged to make a PROFIT of $2.00? O $6.40 O $7.50 $8.75 O $12.00

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present. % of results will be false negatives, and % of results will be false positives.

A town's population increases at a constant rate. In 2010 the population was 12,044. By 2015 the population had increased to 48,044. Assume this trend continues. Predict the population in 2023. Identify the year in which the population will reach 167,000.

Suppose that I have a 3/5 probability of beating my young nephew in any one game of Uno. (Eac game we play is independent of another.) If we played 5 games: 1) What is the probability that I win none of the games? [Select] 2) What is the probability that I win exactly 2 games? [ Select] 3) What is the probability that I win more than 3 games? 0.078

Find the outlier in the data: 32, 40, 34, 31, 20, 36, 40, 31. How does the outlier affect the mean? If necessary, round to the nearest tenth.

A basket is filled with 8 white eggs and 9 brown eggs. Half of the white eggs are cracked. An egg is randomly selected from the basket. What is the probability that it is a cracked, white egg? Write your answer as a fraction in simplest form.