ACT Math - Probability: Help and Review 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. Solve 8! (factorial)

Question 2 2. The numbers 1 through 20 are written on separate slips of paper and placed in a hat. One of the slips is randomly drawn. What is the probability that either a prime number or a number less than 10 is drawn?

Question 3 3. What does the fundamental counting principle say?

Question 4 4. If there are 8 people in a race, but one person is injured and will definitely come in last, how many different ways could the competitors finish?

Question 5 5.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop?

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Question 6 6. 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 girls will place 1st, 2nd, and 3rd in the marathon?

Question 7 7. 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 8 8. You roll a 6-sided die. What is the probability that the number rolled will be odd or prime? (1 is not a prime number)

Question 9 9. 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 10 10. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

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Question 11 11. 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 12 12. Solve the Combination

Question 13 13. Solve 8! (the factorial of 8)

Question 14 14. 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 15 15. 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 16 16. Solve the following combination:

Question 17 17. The name Joe is very common at a school and 1 out of every 10 students go by that name. If there are 15 students in one class, what is the probability that at least one of them is named Joe?

Question 18 18. Solve the expression 5P4 (P = permutation )

Question 19 19. At a local ice cream parlor, there are 6 different flavors of ice cream from which to select (strawberry, chocolate, vanilla, rocky road, mint chocolate chip, and peanut butter). Each ice cream sundae must include 2 different flavors of ice cream; what is the probability that the next customer's sundae will have vanilla and chocolate (in either order)?

Question 20 20.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that the first CD Kyle chooses from the box will be country?

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Question 21 21. The probability of winning a prize at a ball toss at a carnival is 2/7. What is the probability of not winning a prize?

Question 22 22. 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 23 23. 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 24 24. What is 6!

Question 25 25. 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?

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Question 26 26. 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 27 27. The local bowling team plays in a 7-team league where each team plays other teams 4 times in a season. Using the combination formula, how many different games will be played in a season?

Question 28 28. 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 29 29. You and your friend are among 15 students who will give speeches in front of the class. The teacher will randomly choose one of the 15 students to give the first speech. Each student has an equal probability of being chosen. Find the probability that either you or your friend will be chosen to give the first speech.

Question 30 30. 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?

ACT Math - Probability: Help and Review 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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