Probability - Test Test Answers

What is the missing probability in the table?

Three siblings, Peyton, Cameron, and Dakota, all ask their parents to borrow the family car for different events around town. Since they cannot all borrow the car at the same time, the parents decide to use randomness to decide who gets the car. They will roll a single, fair, six-sided number cube. Peyton gets the car if a 1 or 2 is rolled. Cameron gets the car if a 3 or 4 is rolled, and Dakota gets the car if a 5 or 6 is rolled. Which of the following is the probability distribution for who gets the car?

Ten people (labeled 1 – 10 ) have purchased raffle tickets for a fundraiser. However, they did not all purchase the same number of tickets. One ticket is to be selected at random. Which of the following could be the probability distribution for the winning ticket?

A student has heard that spinning pennies on a table, rather than flipping them in the air, results in tails side up 65 percent of the time. If this is true, what is the probability that a student who spins 4 pennies will have them all land tails side up?

For students majoring in Hospitality Management, it was determined that 5 percent have visited 1 – 10 states, 16 percent have visited 11 – 20 states, 45 percent have visited 21 – 30 states, 19 percent have visited 31 – 40 states, and 15 percent have visited 41 – 50 states. Suppose a Hospitality Management student is randomly picked. What is the probability that the student has visited 30 or fewer states?

A medical device company knows that 11 percent of patients experience injection-site reactions with the current needle. If 4 people receive injections with this type of needle, what is the probability that none of the 4 people get an injection-site reaction?

For students majoring in Hospitality Management, it was determined that 5 percent have visited 1 – 10 states, 16 percent have visited 11 – 20 states, 45 percent have visited 21 – 30 states, 19 percent have visited 31 – 40 states, and 15 percent have visited 41 – 50 states. Suppose a Hospitality Management student is picked at random. What is the probability that the student has not visited between 21 and 30 states?

Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?

Suppose that 71 percent of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 7 such locations are generated, what is the probability that the first 5 locations are in water and the last 2 locations are on land?

Some college advisors noticed the following breakdown of majors for the incoming freshman at their school: 3 percent math, 22 percent nursing, 16 percent psychology, 11 percent criminal justice, and 48 percent business. Suppose a first-year student was chosen at random. Which of the following is the probability distribution for that student’s major?

Suppose that 71 percent of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 such locations are generated, what is the probability that all 6 locations are in water?

Sports science researchers determined that, for those people who skateboard, 22 percent have never had an injury, 45 percent have had one injury, 18 percent have had two injuries, and 15 percent have had three or more injuries. What is the probability that a randomly chosen skateboarder has had one or two injuries?

A group of ticket takers at a box office for a new theater noticed that in the first year of the theater’s operation, the genre breakdown of the movies was 10 percent horror, 39 percent comedy, 28 percent drama, and 23 percent action. If a movie from the theater’s first year of operation was selected at random, which of the following identifies the probability distribution for the movie’s genre?

In Canada, 63 percent of households speak English as their primary language, and 23 percent speak French as their primary language. If two Canadian households are selected at random, what is the probability that the first household speaks French, but the second household speaks English?

For students majoring in Hospitality Management, it was determined that 5 percent have visited 1 – 10 states, 16 percent have visited 11 – 20 states, 45 percent have visited 21 – 30 states, 19 percent have visited 31 – 40 states, and 15 percent have visited 41 – 50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?

A computer’s random number generator produces random integers from 1 to 50 What is the probability that among the first 9 random integers generated, all of them fall in the range from 1 to 35 ?

Suppose that 71 percent of the surface of the Earth is covered in water, and a random number generator uses latitude and longitude to select a random location on the Earth. If 6 locations are generated, what is the probability that at least 1 of those locations is over land?

Sports science researchers determined that, of those people who skateboard, 22 percent have never had an injury, 45 percent have had one injury, 18 percent have had two injuries, and 15 percent have had three or more injuries. What is the probability that a randomly chosen skateboarder has not had three or more injuries?

A teacher offers gift cards as a reward for classroom participation. The teacher places the gift cards from four different stores into a bag and mixes them well. A student gets to select two gift cards at random (one at a time and without replacement). Each outcome in the sample space for the random selection of two gift cards is equally likely. What is the probability of each outcome in the sample space?

A popular board game has players twist their bodies around so that their hands and feet touch small colored dots. A spinner with equal areas for each body part (left hand, right hand, left foot, or right foot) is used. Which of the following is the correct probability distribution for the body part chosen to be placed?

A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns labeled V, W, X, Y, and Z. They will randomly select one of the containers to be the control for the experiment by drawing one of five well-mixed slips of paper with the same labels from a hat. Which of the following is the probability model for the control container?

A medical device company knows that 11 percent of patients experience injection-site reactions with the current needle. If 3 people receive injections with this type of needle, what is the probability that the first person has an injection-site reaction, but the next two do not?

Sports science researchers determined that, for those people who skateboard, 22 percent have never had an injury, 45 percent have had one injury, 18 percent have had two injuries, and 15 percent have had three or more injuries. What is the probability that a randomly chosen skateboarder has had at least one injury?

A large company states in their promotional literature that 80 percent of their employees have college degrees. If 5 employees are selected at random from this company, what is the probability that all 5 will have college degrees?

A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?