Tyler and his cousin are playing a game where they pick up colored sticks. Tyler currently has 32 points and likes to pick up the red sticks, earning 8 points every turn. His cousin just lost all her points on the previous turn, and has a strategy to catch up by getting all the teal ones, earning 9 points per turn. In a certain number of turns, the score will be tied. How long will that take? How many points will they each have? In __ turns, both players will have __ points.

Q: In a “Pick-4” game, a player wins a prize for matching a 4-digit number from 0000 to 9999 with the…

A: Given: A player wins a prize for matching a 4-digit number from 0000 to 9999 with the number…

Q: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities…

A: This is a counting problem, and we will solve this using the concept of permutations.

Q: Mike and Barbara are both good chess players. They have completed five games and each has won the…

A:

Q: consider a game of 4×4 Tic-tac-toe in which a player must get four in a row to win. Determine the…

A: To determine the number of 4x4 Tic-tac-toe games that end on turn 7, we need to consider the…

Q: Your teacher is randomly generating numbers from 1-30. For $0.50 you can bet if the number is going…

A: Price of each bet= $0.5, The payouts are: even number pays $1, number in the 20"s pays $1.75, and a…

Q: In a popular online role playing game, players can create detailed designs for their character's…

A: <p>First, we need to calculate the total number of visitors who visited the website. This is…

Q: In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a…

A: Given, 2 chips  1 chip has both red sides 1 chip has a red and blue side

Q: A bag contains 2 gold marbles, 8 silver marbles, and 26 black marbles. Someone offers to play this…

A: Given that gold marbles =2 Siver marbles = 8 Black marbles = 26 Total marbles = 36

Q: The twins decide to pool their tickets and split the winnings. What is the total number of winning…

A: For their birthday, twins Adam and Wei receive some charity lottery tickets. Adam is given 20…

Q: A committee has 1919 members. A subcommittee of 55 members must be chosen for a subcommittee. In…

A: Given Information: 1) A committee has 1919 members. A subcommittee of 55 members must be chosen for…

Q: A man has time to play roulette 5 times. He wins or loses $ 1000 in every game. The man starts with…

A: Given information: Wins or loses per game = $1000

Q: In a game, each player must relay the same message to two persons in a minute. Starting off with the…

A:

Q: “ You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least…

A: Note that the number of ways to select r objects from a group of n Objects is nCr. The total number…

Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: A criminal gets to pick his punishment by choosing among three rooms.  The first is full of burning…

A: There are three rooms First is full of burning fires Second is full of assassins with loaded guns…

Q: Is the game fair? How many dollars should Jane pay for a draw in a fair game?

A: Jane draws a marble from a box containing 5 red marbles, 3 green marbles, and 4 blue marbles. total…

Q: bag contains 1 gold marble, 8 silver marbles, and 22 black marbles. someone offers to play this…

A: Before playing :  It should be known expected value ( it represents profit )  Expected value  :…

Q: 12. Max and Ismail were playing a card game using 128 cards. In the first game, Ismail lost E of his…

A: Given Information -  Max and Ismail are playing a game using 128 cards. In first game Ismail lost 15…

Q: A game consists of the following rules: You draw a card from a standard deck of cards. You will win…

A:

Q: There are 10 students that are a part of a chess club. 2 kids can play a game of chess at once. How…

A: Ans -:  There are 10 students that are a part of a chess club. 2 kids can play a game of chess at…

Q: ten percent of adults say oatmeal is their favorite cookie. You randomly select 12 adults and aks…

A: Given that  Number of trials n=12 Success of probability p=0.10 X~binomial (n,p) nCx = n!/x!(n-x)!

Q: 3.) Nathan plays a video game in which he starts with 0 points. In round 1, he loses 3; points; in…

A:

Q: In a game, two people take ball(s) from 56 balls alternatively. Every time each person can take at…

A: To get hold of the 56th ball it's important to get hold of the 52nd ball and so on. This is the key…

Q: Nigel and Sofia play the following game. Each of them roll a fair six-sided die once. If Sofia’s…

A: Probabilities are calculated

Q: If Chad has 14 stickers and half of those are silver. Sarah has 29 more stickers but 5 fewer silver…

A: Provided that person C has 14 stickers, in which 7 are silver. Another person S has 29 more than…

Q: You pay $10 to play a game where you draw a numbered ball from a bucket containing 10 identical…

A: Here we find probability distribution.

Q: At the Step Right Up carnival, a game is played where three coins are tossed: a quarter, a dime, and…

A: The coins used in the game are a quarter, a dime and a nickel. The cost of the game is $2. The cost…

Q: In this game, two chips are placed in a cup. One chip has two red sides and one chip has a red and a…

A: The cup has two chips. One chip has red colour on both sides Second chip has one side red and other…

Q: In a popular online role playing game, players can create detailed designs for their character's…

A: <p>First, we need to calculate the total number of visitors who visited the website. This is…

Q: An experiment is designed to see whether 3rd graders can write faster with a pen or pencil. Four…

A:

Q: Will play a two-player game, for which we say the numbers from 1 up to 25 in increasing order…

A: The objective of the question is to determine the optimal strategy for a two-player game where…

Q: The Moore family received 31 pieces of mail on April 27. The mail consisted of letters, bills,…

A: Moore family recieved 31 pieces of mail mail consists of letters (L), bills (B) , Magazines (M) and…

Q: You and two friends decide to go to a casino and play Blackjack. You find an empty table and sit…

A: Given, You: Jack and Ace Friend 1: King and 10 Friend 2: 10 and 10 Dealer: 10 and ? The dealer is…