Quiz about Probability and Statistical Inferences Review

Question 1

What is the probability of an event that is certain to happen?

Accepted Answer

1

Answer

0.1

Answer

$$\frac{1}{100}$$

Answer

10

Question 2

The probability model below shows the likelihood of choosing a marble from a jar.

Green $$\frac{1}{2}$$ Orange $$\frac{1}{4}$$ Red $$\frac{1}{8}$$ Black $$\frac{1}{8}$$

Raymond chooses a marble from the jar 15 times and records the data. He plans to draw the marble 90 more times and predicts that the data after 100 draws will more closely match the ratios in the probability model. Which statement is TRUE?

Accepted Answer

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.

Answer

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.

Answer

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.

Answer

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.

Question 3

In a survey of 75 students, 60 of them have a pet. Of those 60 students, 15 of them have a reptile. What is the probability that a randomly selected student has a pet other than a reptile?

Accepted Answer

likely

Answer

impossible

Answer

equally likely

Answer

unlikely

Question 4

What is the likelihood that the spinner will land on 0?

Accepted Answer

impossible

Answer

certain

Answer

unlikely

Answer

equally likely

Question 5

What is the probability of landing on an even number?

Accepted Answer

equally likely

Answer

certain

Answer

unlikely

Answer

impossible

Question 6

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?

Accepted Answer

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

Answer

Yes, experimental outcomes always equal theoretical outcomes.

Answer

Yes, because she spun the spinner 20 times.

Answer

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

Question 7

A gaming machine randomly dispenses a ball numbered 0-9. The machine dispensed a ball 750 times. How many of those numbers would be expected to be 3 or less?

Accepted Answer

Around 300 times, but not exactly 300 times.

Answer

Around 333 times, but not exactly 333 times.

Answer

Around 250 times, but not exactly 250 times.

Answer

Around 225 times, but not exactly 225 times.

Question 8

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?

Accepted Answer

$$\frac{23}{75}$$

Answer

$$\frac{46}{46}$$

Answer

$$\frac{46}{87}$$

Answer

$$\frac{1}{15}$$

Question 9

A spinner contains different sections. The probability of landing on each color is shown.

Green $$\frac{2}{5}$$ Blue $$\frac{1}{5}$$ Yellow $$\frac{2}{5}$$

Which statement is true about the spinner?

Accepted Answer

The yellow section of the spinner is twice as big as the blue section, because the probability of landing on yellow is twice that of blue.

Answer

The spinner contains 5 different colors, because the probability of landing on each color is given in fifths.

Answer

The spinner is divided into sections, because the probability of landing on each color has the same denominator.

Answer

The green section is the biggest because it contains the largest probability compared to the other colors.

Question 10

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?

Accepted Answer

The experimental probability is about twice the theoretical probability.

Answer

The theoretical probability is about twice the experimental probability.

Answer

The theoretical probability is about four times the experimental probability.

Answer

The experimental probability is about four times the theoretical probability.

Question 11

A random number generator produces the numbers 1-10. The random number generator produces the following 10 numbers:

1, 2, 1, 6, 5, 8, 9, 3, 1, 3

What is the experimental frequency of the random number generator producing a 1?

Accepted Answer

30%

Answer

20%

Answer

40%

Answer

25%

Question 12

David predicts that if a coin is flipped 50 times, the coin will land on heads 25 times. When David actually tosses the coin, it lands on heads 37 times. Which statement is TRUE?

Accepted Answer

The experimental probability usually varies from the theoretical probability. If the coin continues being flipped, the experimental probability will approach the theoretical probability.

Answer

The experimental probability always varies from the theoretical probability. If the coin continues being flipped, the experimental probability will approach the theoretical probability.

Answer

The experimental probability always varies from the theoretical probability. If the coin continues being flipped, the experimental probability will become further from the theoretical probability.

Answer

The experimental probability usually varies from the theoretical probability. If the coin continues being flipped, the experimental probability will become further from the theoretical probability.

Question 13

A bag of marbles contains 7 orange, 3 white, 11 green, and 9 clear marbles. A marble is drawn from the bag and replaced. What is the expected number of green marbles out of 2500 draws?

Accepted Answer

917

Answer

583

Answer

750

Answer

250

Question 14

The container has 25 yellow, 15 green, 30 blue, 10 pink, and 20 orange balls. Balls were selected one at a time, results recorded, and placed back in the container. After 80 draws, the pink ball was selected 4 times.

Which statement BEST explains the experimental and theoretical probability of selecting a pink ball?

Accepted Answer

The theoretical probability is greater than the experimental probability. As the number of draws increases, the probabilities will be closer to each other.

Answer

The experimental probability is greater than the theoretical probability. As the number of draws increases, the probabilities will be closer to each other.

Answer

The experimental probability is greater than the theoretical probability. As the number of draws decreases, the probabilities will be closer to each other.

Answer

The experimental probability is less than the theoretical probability. As the number of draws decreases, the probabilities will be closer to each other.

Question 15

A uniform probability model is developed to demonstrate the probability of landing on a number on a spinner. What statements are true about the spinner?

Accepted Answer

The spinner is evenly divided into sections. Each number is equally represented on the spinner.

Answer

The spinner is divided into sections. Each number is represented a different amount of times.

Answer

The spinner is divided into sections of different sizes. The spinner has the same amount of sections for each number.

Answer

The spinner is divided into sections of different sizes and each number is represented a different amount of times.

Question 16

A jar has 50 jolly ranchers. Each candy in the jar has the same probability of being selected. Which probability model shows the outcomes and their probabilities?

Accepted Answer

Question 17

There are 3 groups of students who will be chosen to answer questions randomly in a game. Which of the models would be fair to use to determine who answers the questions?

Accepted Answer

Accepted Answer

Question 18

For an upcoming soccer match, Team A has a 35% chance of winning. What is the probability of Team B winning?

Accepted Answer

Likely

Answer

Unlikely

Answer

Equally likely

Answer

impossible

Question 19

Will is conducting an experiment where he spins a spinner and records the result. He conducted 40 trials in his experiment. The results are in the table.

If Will were to spin the spinner 175 times, approximately how many times could he expect to land on green?

Accepted Answer

48 times

Answer

11 times

Answer

51 times

Answer

26 times

Question 20

James tossed a coin 60 times. The coin landed on tails 42 times and landed on heads 17 times. What is the relative frequency of landing on tails?

Accepted Answer

70%

Answer

42

Answer

42%

Answer

0.07

Probability and Statistical Inferences Review

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics