# NES Essential Academic Skills Math: Probability Chapter Exam

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. All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

#### Question 2 2. 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 3 3. 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)

#### Question 4 4. If you roll a die three times, what is the probability of rolling only even numbers?

#### Question 5 5. 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?

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#### Question 6 6. 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 7 7. While playing with a standard deck of playing cards, what is the probability that Jim's 5th card will be red after selecting 4 cards that were also red and not replacing them? (Hint: There are 52 cards in a deck which contains 26 red and 26 black cards.)

#### Question 8 8. 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?

#### Question 9 9. 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 10
10.
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 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 11 11. 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 12 12. 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 13 13. 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 14 14. 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 15 15. 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.

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#### Question 16 16. Twelve employees at a local company decide to go out for lunch. Of the 12 employees, 8 are men and 4 are women. If a woman is the first to order, what is the probability that a man will be the next person to order lunch?

#### Question 17 17. Using a standard deck of 52 cards, what is the probability of selecting a 4 and then after not replacing the card, selecting another 4?

#### Question 18 18. A normal deck of cards has 52 cards in it. What is the probability of drawing an ace of spades or a 3 from a normal deck of cards?

#### Question 19 19. 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, what is the probability of at least one of them being green?

#### Question 20 20. In a fish tank there are 10 clown fish, 4 angel fish, 6 puffer fish, and 5 eels. What is the probability of scooping out a clown fish on the second scoop after scooping out a clown fish on the first scoop and not replacing it?

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#### Question 21 21. 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 22 22. Fifty tickets are sold for a raffle. You buy 2 tickets and your sister buys 4 tickets. One ticket is randomly chosen as the winning ticket. What is the probability that you or your sister wins the raffle?

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Question 23
23.
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?

#### Question 24 24. Jenny has a bowl of M&M's that has 6 brown, 3 green, 4 red, and 12 yellow M&M's. She selects a yellow M&M and does not replace it. What is the probability that her second selection will be a brown M&M?

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Question 25
25.
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 and 3 jazz CDs.

What is the probability that Kyle will select a jazz CD from the box, and then, without replacing the CD, select a country CD?

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#### Question 26 26. 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 27 27. 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?

#### Question 28 28. Using a spinner with 12 equal sections numbered 1 through 12, what is the probability that Jim will spin a number less than 8?

#### Question 29 29. 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 30 30. The probability of selecting a brown M&M from a bag is 1 out of 4. If 8 M&Ms are selected, what is the probability that at least one of them is brown?

#### NES Essential Academic Skills Math: Probability 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!