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- Raina is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Raina spins the spinner once. She wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. She loses $8 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. dollars (b) What can Raina expect in the long run, after playing the game many times? O Raina can expect to gain money. She can expect to win dollars per spin. O Raina can expect to lose money. She can expect to lose dollars per spin. O Raina can expect to break even (neither gain nor lose money). Submit OKeiko is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Keiko spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $12.50 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. I| dollars (b) What can Keiko expect in the long run, after playing the game many times? O Keiko can expect to gain money. She can expect to win dollars per spin. O Keiko can expect to lose money. She can expect to lose || dollars per spin. O Keiko can expect to break even (neither gain nor lose money).Tony is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Tony spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. He loses $8 if the spinner stops on 5 or 6. (a) Find the expected value of playing the game. dollars (b) What can Tony expect in the long run, after playing the game many times? O Tony can expect to gain money. He can expect to win dollars per spin. O Tony can expect to lose money. He can expect to lose dollars per spin. O Tony can expect to break even (neither gain nor lose money). S ?
- Chang is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Chang spins the spinner once. He wins $1 if the spinner stops on the number 1, $3 if the spinner stops on the number 2, $5 if the spinner stops on the number 3, and $7 if the spinner stops on the number 4. He loses $1.25 if the spinner stops on 5 or 6. (a) Find the expected value of playing the game.___ dollars (b) What can Chang expect in the long run, after playing the game many times?Lisa is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Lisa spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $11 if the spinner stops on 5 or 6. (a) Find the expected value of playing the game. | dollars (b) What can Lisa expect in the long run, after playing the game many times? O Lisa can expect to gain money. She can expect to win dollars per spin. O Lisa can expect to lose money. She can expect to lose dollars per spin. O Lisa can expect to break even (neither gain nor lose money).Jane draws a marble from a box containing 5 red marbles, 3 green marbles, and4 blue marbles. She receives $2 for a red marble and $3 for a green marble that she draws.If she draws a blue marble, she loses $4. Is the game fair? How many dollars should Janepay for a draw in a fair game?
- Diana is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a numbered slice at random. This game is this: Diana spins the spinner once. She wins $1 if the spinner stops on the number 1, $4 if the spinner stops on the number 2, $7 if the spinner stops on the number 3, and $10 if the spinner stops on the number 4. She loses $8.75 if the spinner stops on 5 or 6. (If necessary, consult a list of formulas.) (a) Find the expected value of playing the game. O pesos (b) What can Diana expect in the long run, after playing the game many times? O Diana can expect to gain money. She can expect to win pesos per spin. O Diana can expect to lose money. She can expect to lose pesos per spin. O Diana can expect to break even (neither gain nor lose money).To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $ (c) Is this game fair? Yes NoTo raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $23. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) -8 9/32 Yes No (c) Is this game fair? 1 12/32 (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $2.93 14 Enter a fraction, integer, or exact decimal. Do not approximate. 11/32
- The following are the rules of the game: One player is chosen to be the "It" that guards the preso (empty can). The rest of the players are the hitters, and each throws the pamato (slipper) to the toe-line to topple down the preso. If a player throws the farthest from the toe-line, he/she becomes the "It". The hitters are divided between the two opposite sides. When the hitters run out of throwing objects, the game translates into a chase. Players on one side will act as bait while those on the other side will try to kick the can to avoid being tagged. R2: R3: R4: R5: R6: Given the set of rules of the game, answer the following: 1. Identify the simple statements, compound statements, and the connectives involved in compound statements. Explain your answer. 2. Make a twist in the game by adding a new rule to the game or replacing one of the rules of the game.To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $4 to play. The game works as follows: A fair 4-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, and orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $25. If the die shows an even number and the spinner does not show orange, then you win $10. Otherwise, you don't win anything. Let X be your net winnings. a. Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X P(X) b. Compute your expected net winnings for the game. Round your answer to the nearest cent. $ c. Is this game fair?Jimmy is at the Grand opening celebration of a supermarket. She spends a wheel with 10 equal size slices, as shown. The wheel has 7 black slices, 2 gray slices, and 1 white slice. When the wheel is spun the arrow stops on a slice at random. If the arrow stops on the border of two slices the wheel is spun again.