Algebra Question

Unit 5 Counting and Probability Test Algebra 2 Name: ___________ Directions: Complete the following problems to the best of your ability. Please show your work for each problem. Problems with just an answer listed will earn minimum to no credit. You got this! 😉 If you aren’t sure, check the review problems. 1. One spinner has three same-sized sectors labeled R, S, and T. The second spinner has two same- sized sectors labeled 3 and 5. Each spinner is spun once. What is the sample space of outcomes? (Final answer needs to be in list form) 2. A spinner with three same-sized sectors is spun three times. What is the number of possible outcomes? 3. There are two spinners. The first spinner has three same-sized sectors labeled 1, 2, and 3. The second spinner has four same-sized sectors labeled 3, 4, 5, and 6. The spinners are spun once. How many outcomes do not show an odd number on the first spinner and show a 3 on the second spinner? 4. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper. What is the probability of selecting a number less than 2 followed by a number greater than 7? 5. In a bag there are 5 quarters, 2 nickels, and 3 dimes. One coin is selected at random, replaced, and then another coin is selected. What is the probability of selecting a quarter followed by a nickel? 6. John has a spinner with eight same-sized sectors labels from 1 to 8. He spins the spinner once. What is the probability that he spins a number less than 4, or a multiple of 4? 7. A spinner has ten equal sectors labeled from 1 to 10. The spinner is spun once. What is the probability of getting an odd number and a number greater than 4? 8. Place an ‘X’ in the blank spot next to each set of events that are mutually exclusive. _____ E(A) – An even number is rolled on a standard number cube. E(B) – An odd number is rolled on a standard number cube. _____ E(A) – Drawing an even number from cards numbered 1-20. E (B) – Drawing a multiple of 4 from cards numbered 1-20. A Bouquet consists of 10 red roses, 3 white roses and 8 white lilies, you would like to choose one flower from the bouquet. _____ E(A) – Picking out a white flower. E(B) – Picking out a red rose.