Probability and Statistics Review

Probability and Statistics Unit Review

By Emily Earp

Multiple Choice

A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. If you draw one marble at random, what is the probability that it is either red or blue?

• 1/2

• 1/5

• 1/10

• 1/3

Multiple Choice

A coin is flipped 100 times, and it lands on heads 60 times. What is the experimental probability of the coin landing on heads?

• 0.5
• 0.75
• 0.4
• 0.6

Multiple Choice

Which of the following methods would best ensure a representative sample of students in a school?

• Surveying the first 50 students who enter the school

• 
  Surveying students who volunteer to participate

• Surveying every 10th student on the school roster

• Surveying students in one classroom

Multiple Choice

You roll two six-sided dice. What is the probability that the sum of the numbers on the dice is 7?

• 1/6
• 1/2
• 1/3
• 1/4

Multiple Choice

A class conducted an experiment where they flipped a coin 50 times and recorded the results. They found that the coin landed on tails 28 times. What is the experimental probability of the coin landing on tails?

• 0.34
• 0.72
• 0.48
• 0.56

Multiple Choice

A researcher wants to estimate the average height of 7th graders in a large school. Which sampling method would provide the most reliable estimate?

• Sampling only the basketball team

• Randomly selecting students from the entire 7th grade

• 
  Sampling students from the first class of the day

• Sampling students who volunteer

Multiple Choice

A spinner is divided into 4 equal sections numbered 1 to 4. If you spin the spinner twice, what is the probability that the sum of the numbers is 5?

• 1/8
• 1/2
• 1/4
• 3/4

Multiple Choice

A survey is conducted to find out the favorite fruit of students in a school. If 30% of a random sample of 100 students prefer apples, what is the predicted number of students who prefer apples in a school of 500 students?

• 100
• 200
• 150
• 250

Multiple Choice

Two different surveys are conducted to find the average number of hours students spend on homework. Survey A has a standard deviation of 1.5 hours, and Survey B has a standard deviation of 2.5 hours. Which survey shows more variability in the data?

• Survey A shows more variability in the data.
• Both surveys show the same variability.
• Neither survey shows any variability.
• Survey B shows more variability in the data.

Multiple Choice

A jar contains 4 red, 3 blue, and 3 yellow marbles. If two marbles are drawn at random without replacement, what is the probability that both marbles are red?

• 2/15
• 4/15
• 3/10
• 1/5

Multiple Choice

A die is rolled 60 times, and the number 3 appears 15 times. What is the experimental probability of rolling a 3?

• 0.20
• 0.30
• 0.15
• 0.25

Multiple Choice

A teacher wants to know the average test score of her students. She randomly selects 5 students from her class of 30. What is this method of data collection called?

• Convenience sampling
• Systematic sampling
• Stratified sampling
• Random sampling

Multiple Choice

A bag contains 5 red, 4 blue, and 6 green marbles. If you draw two marbles at random with replacement, what is the probability that both marbles are blue?

• 9/25
• 16/225
• 1/10
• 1/15

Multiple Choice

A class of 30 students is surveyed, and 12 students say they prefer chocolate ice cream. If the school has 300 students, how many students are predicted to prefer chocolate ice cream?

• 90
• 120
• 150
• 60

Multiple Choice

Two data sets are compared, and it is found that Data Set A has a range of 10 and Data Set B has a range of 15. Which data set has more variability?

• Data Set A has more variability.
• Both data sets have equal variability.
• Data Set A has no variability.
• Data Set B has more variability.

Multiple Choice

A deck of cards has 52 cards. What is the probability of drawing an ace or a king from the deck?

• 1/26
• 3/52
• 1/13
• 2/13

Multiple Choice

A coin is flipped 200 times, and it lands on heads 90 times. What is the experimental probability of the coin landing on tails?

• 0.45
• 0.60
• 0.30
• 0.55

Multiple Choice

A researcher wants to estimate the average number of books read by students in a school. Which sampling method would provide the most reliable estimate?

• 
  Randomly selecting students from the entire school

• 
  Sampling students from the library

• Sampling students from the first class of the day

• Sampling students who volunteer

Multiple Choice

A bag contains 8 red, 5 blue, and 7 yellow marbles. If you draw two marbles at random without replacement, what is the probability that both marbles are yellow?

• 21/190
• 3/20
• 5/38
• 1/10

Multiple Choice

A survey is conducted to find out the favorite sport of students in a school. If 40% of a random sample of 50 students prefer basketball, what is the predicted number of students who prefer basketball in a school of 400 students?

• 200
• 160
• 120
• 80