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GRE Quantitative Reasoning - Probability and Statistics: Tutoring Solution Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. If you roll a die three times, what is the probability of rolling only even numbers?

Question 2 2. Using this chart, determine the percent increase of bus riders.

Question 3 3.

Find the standard deviation for the following data set:

16, 20, 14, 24, 16, 19, 30, and 8

Question 4 4. On a 5 question, multiple-choice test, what is the probability that you will get at least one problem correct while guessing? Each question has 5 choices.

Question 5 5. The letters that spell out the state CALIFORNIA are cut and placed in a bag. What is the probability that the 3rd letter selected will be a C if the first two letters selected were both I's? (Letters were not replaced)

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Question 6 6. Using the Pie Chart 'Who Sells The Most Fast Food?', about what is the total amount (in billions) that Wendy's made in sales?

Question 7 7. Jane has cards with the letters ALABAMA on them. She lays the cards face down. What is the probability of Jane selecting two cards and both of them being a vowel?

Question 8 8.

Find the range for one standard deviation in the following data set:

16, 20, 14, 24, 16, 19, 30, and 8

Question 9 9. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. How many different games will be played in a season?

Question 10 10. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mode number of medals won during these Olympic Games.

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Question 11 11. The probability of selecting a green ball from a bag is 1 out of 8, assuming there are 8 balls in the bag. If you select 3 balls, replacing them each time, what is the probability of at least one of them being green?

Question 12 12. Using the Pie Chart 'Who Sells The Most Fast Food?', which fast food restaurant had about 17 Billion in sales?

Question 13 13. Solve the expression 5P4 (P = permutation )

Question 14 14. What is 6!

Question 15 15. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. If there is an outlier, identify it from the number of medals won during these Olympic Games.

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Question 16 16. Using the following table, determine the percent increase in people who ride their bike to work.

Question 17 17. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. The order of the flavors is important to him as it affects how he tastes each ice cream. How many different arrangements of cones can Jimmy make?

Question 18 18. Jimmy has the letters for the state of MISSISSIPPI written on cards, one letter per card. He turns the cards over and mixes up the order. If he selects one card at a time without replacing the cards, what is the probability that he will spell the word MISS in order?

Question 19 19. Jane is attempting to unlock her locker but has forgotten her locker combination. The lock uses 3 numbers and includes only the numbers 1 to 9. Each of the digits also can not be repeated in the combination. How many possible locker combinations can be formed?

Question 20 20. Solve 8! (factorial)

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Question 21 21. In Mr. Martin's math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected?

Question 22 22. A newspaper company is selecting four houses to receive a free newspaper on your block. There are 10 houses on your block that are numbered 1-10. What is the probability that the four houses selected for a free newspaper will all be even numbered houses?

Question 23 23. The probability of selecting a red M&M from a bag is 2/5. If 5 M&Ms are selected, what is the probability of at least one M&M being red?

Question 24 24. A class of 6 boys and 12 girls are preparing for finals. The teacher is going to select 3 students to be exempt from the test. What is the probability that the three students that are exempt will be all boys?

Question 25 25. All of the letters of MISSISSIPPI are put in a bag. What is the probability of selecting an M and then after not replacing the letter, selecting a P?

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Question 26 26. A locker combination contains four numbers between 1 and 20 and none of the numbers can be repeated. What is the probability that the locker combination will consist of all even numbers?

Question 27 27. Twenty students compete in a school-wide marathon and each student is of comparable running ability. Of the 20 students, 15 were boys and 5 were girls. What is the probability that boys will place 1st, 2nd, and 3rd in the marathon?

Question 28 28. Kate and Kyle are playing a game. They must flip a coin and spin a spinner that has 12 equal sections numbered 1 through 12. What is the probability that Kyle will flip a heads and spin the spinner and get an even number?

Question 29 29.

Find the range for one standard deviation in the following data set:

101, 106, 125, 142, 78, and 109

Question 30 30. Looking at the pie chart 'Who Sells The Most Fast Food?', how many sectors can be determined?

GRE Quantitative Reasoning - Probability and Statistics: Tutoring Solution Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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