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- 4. Find the counting problem below: a. 4x5x6x...x1000 b. (50 10) c. (255) d. 25 5 e. 50 10114. Lily is unable to solve two multiple-choice questions, each having exactly four answer choices. She decides to randomly guess. Each choice has the same chance of being selected, and her choice selection on one question does not influence her choice selection on the other question. What is the probability that Lily answers at least one of the two questions correctly? E. T 16 F. G. T 16 Н. 15 16 To4. A player spins a fair spinner with 3 sections, numbered 0, 2, and 6. Then the player tosses a fair die with four faces, numbered 1, 2, 3, and 4. The player's score is determined by doubling the number on the die, and then subtracting the number on the spinner. What is the average score for this game?
- 2.59. A restaurant has 6 different desserts. Find the number of ways a customer can choose 2 of the desserts.14 16 18 a) How many times were the sum of the three dice more than 14? b) What proportion of the time was the sum of the three dice more than 14? c) How many times were the sum of the three dice at most 7? d) What proportion of the time was the sum of the three dice at most 7? Question Help: D Post to forum 00000 0000 00000000000 000000002 0000000000000 0000000f 000000 00000ot 00 0000000 0000to 0000 OF 006. You and your friend decide to play a game at a carnival that costs you $1 to play. The game involves flipping two coins and rolling a 6-sided die. If you flip two heads and roll a 3 on the die you win $25. If you flip two heads and roll an even number, you win $10. If you flip two tails with any dice roll, you win $5. а. List all of the possible outcomes for this game (i.e., the sample space). b. Calculate your expected value for this game. Game Outcome Probability c. Is this game profitable over time? How do you know?
- 10. Jenna is playing a board game. She rolls two number cubes, each numbered 1–6. If she rolls a sum of 12, she wins $100; otherwise, she loses $1. How much should Jenna expect to win or lose on average per roll? OWED EQUCion acerIn a board game, you must roll two 6 sided number cubes. You can only start the game if you roll a 3 at least one of the number cubes. A) Make a list of all the different possible outcomes when two number cubes are rolled. B) What fraction of the possible outcomes is favorable? C) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain.15. Multiple Choice Amber rolls two number cubes. How many outcomes are possible? B 12 © 24 D 36
- 13. Dan has a novel to read. He reads of the pages on each of Monday and Tuesday, 65 pages on Wednesday, another 20% of the pages on Thursday, and the final 61 pages on Friday. How many pages were in the novel?2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.