# TExES Physics/Math 7-12: 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 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 2 2. There is a bag of blue and red marbles and a deck of cards. What is the type of probability if one wants to know the chances of pulling out a blue marble and then an ace from the deck of cards?

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Question 3
3.
Let F = {2, 5, 7, 9}

Let G = {1, 4, 6, 8}

Which of the following is true?

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

#### Question 5 5. What do we call the ratio of the occurrence of a singular event and the total number of outcomes?

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#### Question 6 6. 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 7 7. 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 8 8. 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 9 9. Jenny has a bowl of M&M's that has 6 brown, 3 green, 4 red, and 12 yellow M&M's. What is the probability that she will select a brown M&M after first selecting a yellow M&M and not replacing it?

#### Question 10 10. Lisa has a two-sided coin with heads and tails. She also has a spinner with four colors: green, blue, red, and yellow. What is the probability of Lisa flipping the coin and getting heads and spinning the spinner to land on green?

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####
Question 11
11.
Solve the expression 7*P*2 (*P* = permutation)

#### Question 12 12. 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 13 13. If P(B|A) = P(B), then what do we know about events A and B?

#### Question 14 14. 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. How many different arrangements of cones can Jimmy make?

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

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#### Question 21 21. Solve 8! (factorial)

#### Question 22 22. 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 23 23. 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 24 24. 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 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. Calculate 4! (factorial)

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Question 27
27.
Let set A = {socks, shoes, pants, shorts}.

Let set B = {shorts, sandals, t shirt}

Find.

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Question 28
28.
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 29 29. What is it called when the probability of an event is not affected by a previous event?

#### Question 30 30. When you conduct an experiment, what are you observing?

#### TExES Physics/Math 7-12: 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!