Probability and Inferences

• Raymond is incorrect. He wants to draw a marble 100 times, which is not divisible by all of the probability model fractions. It does not matter if he draws a marble 10 times or 100 times.

• Raymond is incorrect. The actual outcome of selecting each color after 100 draws will be 10 times the outcomes of drawing a marble 10 times.

• Raymond is correct. The more times he draws a marble, the closer the probability model will match the actual outcomes of selecting each color from the jar.

• Raymond is correct. Every event should be tested 100 times to determine if the actual outcome is close to the expected outcome from the probability model.

What is the probability of landing on an even number?

• certain

• unlikely

• equally likely

• impossible

The spinner is spun 100 times. Based on the theoretical probabilities of landing on each color, Eva predicted the following set of outcomes. Side Color Eva's Prediction for the Number of times it is landed on Red 20 Orange 20 Purple 20 Yellow 20 Green 20 Will Eva's predictions MOST LIKELY match the actual outcomes?

• Yes, experimental outcomes always equal theoretical outcomes.

• Yes, because she spun the spinner 20 times.

• No, because Eva's predicted outcomes should show the spinner landing on green the most and orange the least.

• No, because experimental outcomes rarely are the same as theoretical outcomes.

Anna recorded the types of vehicles that drive by her house. The table shows the types of the last 150 vehicles that drove by her house. Using the data, what is the probability that the next vehicle to drive by her house will be a pickup truck?

A sports bag contains 3 tennis balls, 4 baseballs, and 8 golf balls. Each is equally likely to be chosen. Which of the following models could be used to simulate this situation?

• flipping a coin fifteen times

• spinning a spinner with three equal sections

• choosing from 3 red marbles, 4 yellow marbles, and 8 blue marbles

• rolling a number cube labeled one through six fifteen times

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select two answer choices.

• Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

• In a group of 40 customers, it is expected that about 10 will pay with cash.

• About 30% of all the store's customers will pay with a credit card.

• A sample of 100 customers would provide less reliable data.

A representative sample of 80 customers in a clothing store was surveyed about how they paid for their purchases. The table shows the responses. Based on the results, which of the following are valid inferences. Select all that apply.

• Tomorrow, 8 out of the first 80 customers will for sure pay with a gift card.

• In a group of 40 customers, it is expected that about 10 will pay with cash.

• About 0.3, or 30%, of all the store's customers will pay with a credit card.

• A sample of 100 customers would provide less reliable data.

The manager of a music store surveyed a random sample of customer who shop in the store about their favorite type of music. The table shows the number of customers who selected each type of music. Based on the information in the table, which inference about the favorite type of music of all the customers who shop in the music store appears to be valid?

• They are certain to select rock or pop music.

• They are less likely to select country or rap music than rock music.

• They are more likely to select country music than jazz, classical, or rap music.

• They are certain to select any type of music other than jazz music.

In a certain population of birds, about 40 percent of the birds have a wingspan greater than 10 inches. Biologists studying the birds will create a simulation with random numbers to estimate the probability of finding 1 bird in a sample of 6 birds with a wingspan greater than 10 inches. Which of the following assignments of the digits 0 to 9 will model the population?

• Let the even digits represent birds with a wingspan greater than 10 inches and the odd digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits 0 and 1 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 2 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 3 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

• Let the digits from 0 to 4 represent birds with a wingspan greater than 10 inches and the remaining digits represent birds with a wingspan less than or equal to 10 inches.

The dice is rolled 40 times. The results are: 1 - 5 times 2 - 4 times 3 - 8 times 4 - 2 times 5 - 15 times 6 - 6 times Which statement is TRUE about the results of landing on a 5?

• The theoretical probability is about twice the experimental probability.

• The experimental probability is about twice the theoretical probability.

• The theoretical probability is about four times the experimental probability.

• The experimental probability is about four times the theoretical probability.