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- can you help me find answers munber 4 and 5?If you get 3 and 4, the multiplication is 12. Twelve is a multiple of 6, so I win! 1. Which player would win if you get 2 and 5 in the dice? Me or you? 2. Which player would win if you get 4 and 2 in the dice? 3. Which player would win if you get 1 and 6 in the dice?A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or D. Players compete for a pot of tokens. A player spins the top and takes one of the following actions, depending on which letter faces up. • If A faces up, the player neither adds nor subtracts tokens from the pot. • If B faces up, the player wins the entire pot of tokens. If C faces up, the player wins half of the tokens in the pot, rounding up if the number is odd. • If D faces up, the player adds a token to the pot. Assume that each face of the top is equally likely to face upward and that the pot holds 26 tokens. Let the random variable X be the amount of tokens won by a player. Thus, the range of X is {-1,0,13,26). Let the probability mass function be f(x) = P(X=x) and the cumulative probability function be F(x)=P(X≤x). Find f(1) and F(1). First, find the probability mass function f(x). f(x) = 0 (Type an ordered pair. Use a comma to separate answers as needed.) Now find f(1). f(1) =…
- PERFORMANCE TASK #1 DIFFERENTIATES PERMUTATION FROM COMBINATION OF n OBJECTS TAKEN r AT A TIME - Determine if the said situation shows a permutation or a combination. On the box provided after each item, explain why the situation is a permutation or a combination. 1. A student picks four books from a library 2. A coach selects his starting lineup for a game.A die has 4 faces with A, 2 faces with B. Jar A contains 3 red and 2 green tickets, while Jar B contains 1 red and 4 green tickets. A roll is used to determine which jar is selected then tickets are drawn simultaneously. a. P(both are green tickets) b. P(one red and one green ticket from jar B) C. P(both tickets are red given they came from jar A)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 $6 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 th 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 $7. 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. P(X) Enter a fraction, integer, or exact decimal. Do not approximate (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. (c) Is this game fair? O Yes O No
- Haw.f Find the 9 Yea Far the Fottowing Yegians 6) Regian ShaVed bet week the Cardioidssee pictures to answer a,b, and cGreen Red Orange Purple Yellow 3. Caitlyn and Tabitha want to fairly decide who will take the family dog on a walk, so they roll a fair six-sided die and spin the spinner above. Caitlyn will walk the dog if the die roll is a 1, 2, or 3 and the spinner lands on orange or green. Tabitha will walk the dog if the die roll is a 4 or 6 and the spinner lands on red, yellow, or purple. They will continue the experiment until one of the events occurs. Does the experiment provide a fair way to decide who walks the dog? Explain using probability.
- Ali and Ahmet play a game. A fair die is rolled, and each time it is thrown it is equally likely to show any of the six numbers. If it shows 5, Ali wins. If it shows 1, 2 or 6, Ahmet wins. Otherwise, they play a second round and so on. What is P(Ali wins on 5-th round)=? O a. 1/96 O b. 1/162 O c. 1/243 O d. 1/486* A and B throw with three dice; if A throws 14, find B's chance of throwing a higher number. D throw caither 15 or 16 or 17 or 18State if each scenario involves a permutation or a combination. Then find the number of possibilities.