# MTEL Middle School Math/Science: Conditional & Independent 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!

### Page 1

#### Question 1 1. 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 2 2. 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 3 3. Paul wants to play quarterback for his football team, but that decision depends on who serves as head coach for a given game. Coach Smith is head coach about 60 percent of the time, and Coach Brown is head coach the other 40 percent. Coach Brown has faith in Paul, so he starts him at quarterback in 80 percent of the games he coaches. Coach Smith, though, isn't so sure, so he starts Paul at quarterback 40 percent of the time. What's the probability of Paul starting as quarterback for the next game?

####
Question 4
4.
Solve the expression 7*P*2 (*P* = permutation)

#### Question 5 5. 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?

### Page 2

#### 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. 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?

#### Question 8 8. 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 9 9. 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 10 10. 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?

### Page 3

#### 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. What is it called when the probability of an event is not affected by a previous event?

#### Question 13 13. 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 14 14. 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?

#### Question 15 15. 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?

### Page 4

#### Question 16 16. Sam has to find one more pair of cards to win a memory game. Of the cards left, two show apples, two show oranges, and two show grapes. What are the odds of Sam turning over two cards and getting two cards with grapes?

#### Question 17 17. 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 18 18. 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 19 19. 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 20 20. 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?

### Page 5

#### Question 21 21. 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 22 22. 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?

#### Question 23 23. A car lot has 50 Model A cars, 20 Model B cars, and 5 Model C cars. Joe has to sell 1 more Model A car and 1 more Model C car to get a bonus. What are the chances of this occurring if he sells only two more cars?

#### Question 24 24. James is going through an old bag of marbles. He bets his friends that he can pull a red marble out of the bag and then a yellow marble in one try. There are 12 red marbles and 7 yellow marbles. What is the probability that he can pull a yellow from the bag, given that he has already pulled a red?

#### Question 25 25. 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?

### Page 6

#### Question 26 26. 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 27 27. 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 28 28. 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 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. Sally is selling strawberry and regular lemonade at her stand. Out of all of the customers that bought her lemonade, 50% like regular lemonade and 30% like strawberry and regular lemonade. So if one of Sally's customers likes regular lemonade, what's the probability that they'll also like strawberry lemonade?

#### MTEL Middle School Math/Science: Conditional & Independent 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!