Probability Questions and Answers

In a certain group of 55 students, 18 are taking choir, 24 are taking band, and 7 are taking both. What is the probability that a randomly chosen student is taking choir or band? Give your answer as a fraction.

The probability that a 30-year-old female will live to age 31 is 0.98. If a $500,000 one-year term life insurance policy costs $4,000 a year, what is the expected value? $6,080 $5,000 -$200 -$4,000

You play soccer and love to be in the position of a goalkeeper, but that is dependent upon who is coaching that day. With coach Sam, the probability of being a goalkeeper is 0.6 and with coach Alex, the probability of being a goalkeeper is 0.2-Sam coaches more often, about 7 out of every 10 games (probability = 0.7). Construct a probability tree associated with this scenario. Upload your answer.

An examination of cell phone use by 2,500 high school students reported that 51 students had no social media apps on their phones; 147 had one social media app on their phones; 1,152 had two social media apps on their phones; and the remainder had three social media apps on their phones. In the probability distribution for this sample space, what is the probability that a student had three social media apps installed? 0.252 0.460 1.150 0.239

About 9% of the population is hopelessly romantic. If 2 people are randomly selected from the population, what is the probability that at least 1 person is hopelessly romantic? 0.1719 0.9919 0.9100 0.0081

When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 979,366 radioactive atoms, so 20,634 atoms decayed during 365 days. a. Find the mean number of radioactive atoms that decayed in a day. b. Find the probability that on a given day, 55 radioactive atoms decayed.

An elementary school art class teacher plans to display artwork next to the door of each of the classrooms in the school. Each classroom door will only have one piece of artwork displayed, and the school has 22 such doors. If the teacher has 12 sketches and 16 oil paintings, what is the probability that 10 sketches and 12 oil paintings are chosen to be displayed? Select the correct answer below:

The Math Department at CCC has 3 full-time professors who are male, and 5 full-time professors who are female. What is the probability that a randomly selected full-time Math professor is female? [Select] This probability is obtained using

The Gallup organization found that 28% of Americans own a cat as a pet. Round all probabilities to four decimal places. a) Find the probability that 6 Americans own a cat as a pet. b) Find the probability that ALL 6 Americans DO NOT own a cat as a pet. c) Find the probability that at least one of 6 Americans owns a cat as a pet.

A bag of numbered lottery balls contains the numbers 1 through 40. What is the probability that a randomly selected ball will be a number that is not a multiple of 13? Give your answer as a simplified fraction.

25. Andy has a collection of movie DVDs. In Andy's collection, 3 5 of the DVDs are "Action," and 1 4 of the DVDs are "Comedy." 4 Andy said that 9 of his collection is "Action" or "Comedy." Cynthia said that Andy made an error. Explain whether Andy is correct or incorrect and why. What fraction of the DVDs in Andy's collection is not "Action" or "Comedy? Show your work.

The probability that a randomly selected Math 164 student will transfer is 0.6. Assume that students are independent. a) The probability that 3 randomly selected Math 164 students will all transfer is b) The probability that none of the 3 randomly selected Math 164 students will transfer is c) The probability that at least one of the 3 randomly selected Math 164 students will transfer is

A math class contains 5 females (three of whom speak French and the rest speak only English), and 8 males (two of whom speak French and the rest speak only English). a) A student in the class is chosen at random. If you're told the student is male, what is the probability that the student can speak French? b) The first student is "placed" back into the class, and another student is chosen at random. If you're told the student can speak French, what is the probability the student is female?

A naturalist leads whale watch trips every morning in March. The number of whales seen has a Poisson distribution with a mean of 1.9. Find the probability that on a randomly selected trip, the number of whales seen is 5.

Krish is taking a penalty shot for his soccer team. He estimates that his chances of scoring on a penalty kick during a game are 90% when there is no wind, but only 70% on a windy day. If the weather forecast gives a 35% probability of windy weather today, what is the probability of Krish scoring on a penalty kick in a match this afternoon?

On average, 10.0 persons per minute are waiting for an elevator in the lobby of a large office building between the hours of 8 A.M. and 9 A.M. What is the approximate probability that in any one-minute period at most four persons are waiting? (Answer in 4 decimal places)

Questi In a horse race with 6 horses, you make a bet by predicting the ranking of all 6 horses. If you place your bet at random, what is the probability that you will get the first and second horse correct and in the correct order? Give your answer as a fraction. Provide your answer below:

This season, the probability that the Yankees will win a game is 0.48 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees win and score 5 or more runs is 0.38. What is the probability that the Yankees lose and score fewer than 5 runs? Round your answer to the nearest thousandth.

A particular library has 58 visitors. When the visitors were asked how many books they read that year, 20 said they read one book, 22 said they read three, and 16 said they read five. Assuming the visitors are telling the truth, what is the empirical probability that a visitor read five books? Write your answer as an exact fraction which is reduced as much as possible.

The Gallup organization found that 29% of Americans own a cat as a pet. Round all probabilities to four decimal places. a) Find the probability that 7 Americans own a cat as a pet. 0.00017:✔ b) Find the probability that ALL 7 Americans DO NOT own a cat as a pet. c) Find the probability that at least one of 7 Americans owns a cat as a pet.

A bag of blocks contains 4 purple blocks and 7 yellow blocks. What is the probability that a block picked at random is yellow? Select the correct answer below: 1/11 2/11 4/11 7/11 9/11

From a well shuffled pack of 52 cards a player deals one by one a card from the top of the deck. The player can stop the game in any number of trials, then the probability of getting an ace for sure in long run of trials is The sum of digits of p is_ 5151576 P 260

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. 0.4332 0.9332 0.5 0.0668

Suppose a life insurance company sells a $190,000 one-year term life insurance policy to a 25-year-old female for $290. The probability that the female survives the year is 0.999542. Compute and interpret the expected value of this policy to the insurance company. The expected value is S (Round to two decimal places as needed.)

In the United States, 42% of the population have brown eyes. Suppose 8 people are randomly selected. Write each answer in a complete sentence. a. What is the probability at most 2 of the people have brown eyes?

Assume that the price of regular unleaded gasoline across Canada is normally distributed with a mean of $3.10 and a standard deviation of $0.28. What is the probability that the price of regular unleaded gasoline in a randomly selected gasoline station is either lower than $2.90 or higher than $3.35?

During a professional football game, every spectator placed his or her ticket stub into one of several containers. After the game, the coach chose four people to march in the victory parade. What is the sample in this situation? Choose the correct answer below. The four people to march in the victory parade The football game spectators The ticket stubs The coach

Chapter 6: You operate an auto store that sells tires. You are concerned about warranty returns on the tires. Company records show that the probability warranty repair for a tire in the first 90 days is .05. You are tracking the sales of three tires. Using the binomial distribution formula, what is the probability that at least one will need a repair? .1245 .1390 .1426 .1500

The event of using your free hour to nap is A and the event of using your free hour to study is B. If these events are mutually exclusive events, using P(A) = 0.23, and P(B) = 0.73, what is P(B\A)?

Let M be the event that a randomly chosen student passes a math test. Let S be the event that a randomly chosen student studies every day. Identify the answer which expresses the following with correct notation: The probability that a randomly chosen student studies every day, given that the student passes a math test. Select the correct answer below: P(MIS) P(M AND S) P(S) AND P(M) P(SIM)

Mary wanted to track the growth of various peppers in her garden, so she decided to label them. Her garden had RED peppers labeled 1, 2, 3, 4, 5, 6, GREEN peppers labeled 1, 2, 3, 4, 5, and YELLOW peppers labeled 1, 2. If a single pepper is picked at random, what is the probability that the pepper is YELLOW AND has an ODD number?

There are 26 cards in a hat, each of them containing a different letter of the alphabet. If one card is chosen at random, what is the probability that it is not between the letters L and P, inclusive?

Suppose Dan loses 34% of all checker games. (a) What is the probability that Dan loses two checker games in a row? (b) What is the probability that Dan loses three checker games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that Dan loses three checker games in a row, but does not lose four in a row.

A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 8?

The probability that a randomly selected 2-year-old male chipmunk will live to be 3 years old is 0.99291. a) What is the probability that two randomly selected 2-year-old male chipmunks will live to be 3 years old? b) What is the probability that nine randomly selected 2-year-old male chipmunks will live to be 3 years old? c) What is the probability that at least one of nine randomly selected 2-year-old male chipmunks will not live to be 3 years old? Would it be unusual if at least one of nine randomly selected 2-year-old male chipmunks did not live to be 3 years old?

When a man observed a sobriety checkpoint conducted by a police department, he saw 668 drivers were screened and 6 were arrested for driving while intoxicated. Based on those results, we can estimate that P(W) = 0.00898, where W denotes the event of screening a driver and getting someone who is intoxicated. What does P (W) denote, and what is its value? What does P (W) represent? A. P (W) denotes the probability of driver being intoxicated. B. P(W) denotes the probability of screening a driver and finding that he or she is not intoxicated. C. P (W) denotes the probability of a driver passing through the sobriety checkpoint. D. P (W) denotes the probability of screening a driver and finding that he or she is intoxicated. P(W) = (Round to five decimal places as needed.)

Ronald finished his daily jog and wants a drink. In his refrigerator, there are 2 cans of energy drink, 9 cans of soda, and 11 bottles of water. If Ronald chooses a drink at random, what is the probability that he chooses a bottle of water? Give your answer as a fraction.

A spinner contains the numbers 1 through 40. What is the probability that the spinner will land on a number that is not a multiple of 6? Give your answer as a fraction. Provide your answer below:

While on vacation in Las Vegas, late one night in a bar you meet a sharply dressed man who claims to know that at the Tropicana there are six rigged slot machines in the back of the casino: four of them pay out 10% of the time (G = the good machines), and the other two pay out 20% of the time (A = the awesome machines). The six machines are all red, sitting side by side in the northeastern corner of the casino. The only problem is that the man is quite drunk, so he can't quite remember which one is which. Let N be the event where a machine doesn't pay out, and P be the event where a machine does pay out. Note: Round to 3 decimal places. You won't be penalized for cascading mistakes (a) The next day you go to the Tropicana to find out more. You find the six machines sitting in the back of the casino, and roll a fair six-sided die to determine which you will try. Calculate P(A), the probability you select an awesome machine, and P(G), the probability you select a good machine. (b) Calculate the probability that the machine you select pays out. (c) If the machine you select pays out, what is the probability that it is the awesome slot machine? (d) If the machine you select does not pay out, what is the probability that it is the awesome slot machine?

Martin will draw 3 cards from a standard 52-card deck without replacement 5 different times. For each 3-card draw, he will record the number of red cards and the number of black cards. What is a trial of this experiment? Select the correct answer below: drawing 5 cards drawing 1 card drawing 3 cards drawing 15 cards

For a certain casino slot machine, the odds in favor of a win are given as 33 to 67. Express the indicated degree of likelihood as a probability value inclusive.

Question Let C be the event that a randomly chosen student sings in the choir. Let B be the event that a randomly chosen student is a boy. Identify the answer which expresses the following with correct notation: Of all the students who sing in the choir, the probability that a randomly chosen student is a boy. Select the correct answer below: P(C AND B) P(BIC) P(B) AND P(C)

Question For a biology experiment, students labeled the plants in a greenhouse in order to track their heights over the next few weeks. The greenhouse contained ROSES labeled 1, 2, 3, 4, 5, 6, LILIES labeled 1, 2, 3, 4, 5, and VIOLETS labeled 1, 2, 3, 4. If a single flower is picked at random, what is the probability that the flower is NOT A ROSE? • Provide the final answer as a fraction. Provide your answer below:

A football team has enough resources to recruit one player. The players the team is interested in consist of 7 wide receivers, 10 offensive linemen, and 5 tight ends. If the player they recruit is selected at random, what is the probability that the player is a tight end? • Give your answer as a fraction. Provide your answer below:

A parking lot has 36 cars in it. Each car is either white, black, or gray. If one of the cars is randomly selected, the probability that the car is white is 4/9 and the probability that the car is black is 5/12.How many gray cars are in the parking lot? (Note: Enter only a number in the answer box--no words.)

Among 500 randomly selected drivers in the 16-18 age bracket, 375 were in a car crash in the last year. If a driver in that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during the next year? Is it unlikely for a driver in that age bracket to be involved in a car crash during a year? Is the resulting value high enough to be of concern to those in the 16-18 age bracket? Consider an event to be "unlikely" if its probability is less than or equal to 0.05. The probability that a randomly selected person in the 16-18 age bracket will be in a car crash this year is approximately (Type an integer or decimal rounded to the nearest thousandth as needed.)

On their first date, Kelly asks Mike to guess the date of her birth, not including the year. Complete parts a through c below. a. What is the probability that Mike will guess correctly? (Ignore leap years.) (Type an integer or a simplified fraction.)

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 143 subjects with positive test results, there are 20 false positive results; among 158 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed.) ...

Results from a marijuana drug test study showed 143 subjects with positive test results including 24 false positive results. There were 157 negative results, including 3 false negative results. What is the probability that a randomly selected subject did not use marijuana? Round to three decimal places as needed. A. 0.593 B. 0.523 C. 0.477 D. 0.533

Consider the following situation: "A person rolls a four-sided die that has the numbers 1, 2, 3, and 4 on the faces. Then the person spins a spinner that has three regions that are the same size; the colors of the three regions are blue, red, and green. 1. Make a tree diagram to show all of the outcomes for rolling the die and spinning the spinner. 2. How many outcomes are there? List them all.