If there was a Connect 4 tournament where one person played 5 games, two people played 4 games, and one person played 3 games, then how many games occurred? Hint: a person can play someone else multiple times

Q: In the 31st SEA Games volleyball match, how many ways can a coach choose 6 starters from a…

A: From given information, n is 15 and r is 6.

Q: In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both…

A:

Q: Many states in U.S.A have a lottery game, usually called a Pick-4, in which you pick a fourdigit…

A: From 0-9 there are 10 digits. Therefore there are 10 choices available from each bin out of which…

Q: 1)Tom has 2021 balloons to be evenly distributed among 21 students. If every student receives the…

A: Tom has 2021 balloons .We have distributed in 21 students every students receive balloons…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the

A: Given, Players has same chanece of winning. So, p = 0.5 If player wins 3 times out of 5 games is…

Q: a) Compute the number of ways in which 5 lottery balls can be selected from a pool of 39 balls.…

A: a) We can select 5 balls from 39 balls in 39C5=575757 ways. We can match all the 5 numbers in 5C5=1…

Q: This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen…

A: A standard deck consists of 52 cards in which there are 4 suits of 13 cards each. There would be…

Q: Using polyas strategy, An online mobile game tournament was facilitated and begins with 1024…

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Q: A certain game involves tossing 3 fair​ coins, and it pays 7¢ for 3​ heads, 5¢ for 2​ heads, and 3¢…

A:

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: a 50 member club will elect a president and then a vice president from their membership. how many…

A: Given: The total number of members is 50

Q: In a state lottery, there are 14 finalists who are eligible for the Big Money Draw. In how many ways…

A: Given for distributing first prize we have 14 choices.

Q: A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and 3¢…

A: Given A certain game involves tossing 3 fair coins, and it pays 18¢ for 3 heads, 9¢ for 2 heads, and…

Q: An urn contains five balls, two of which are marked $1, two $5, and one $15. A game is played by…

A: First we calculate the probability of winning each amount   P($1) = 2/5  P($5) = 2/5P($10) = 1/5

Q: Suppose a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and…

A: Total cards= 52 Total ace= 13 Probability of selecting ace, P(A)= 13/52 Total kings= 4 Probability…

Q: A chess tournament has 16 players. Every player plays every other player exactly once. How many…

A: Consider 16 players competing for a chess tournament with each player competing with the rest of the…

Q: 30 teams enter a 2 on 2 basketball tournament where the tournament is single elimination (one loss…

A: If N number of teams participates in a single elimination tournament, then in order to decide the…

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: How many possible outcomes for the individual games are there, such that overall player A ends up…

A: From the provided information  Out of the 9 games player A can win any of the 4 games, which gives…

Q: In an experiment on social​ interaction, 6people will sit in 6 seats in a row. In how many ways can…

A: Here we Wang to know how many ways six people can sit in six seats in a row.

Q: Jake had a bag of 50 beads, of which some are red and some are the remaining are yellow. Jake…

A: Consider the provided question, Given, Jake had a bag of 50 beads in which some red and remaining…

Q: Assume that the group has a portfolio of 6 stocks. There is 30% chance that any one of these stocks…

A:

Q: Suppose George loses 28% of all chess games. What is the probablity he loses 6 games in a row but…

A:

Q: Suppose that jurors are selected randomlyfrom an adult population. What is the proability that all…

A: Given data, n=12 p=80%=0.80 P(X=12)=?

Q: Suppose that there are eight runners in a race. The winner receives a gold medal, the second place…

A: Given Suppose that there are eight runner in a race . The winner receives a gold medal the second…

Q: In a certain men's tennis tournament, two finalists, A and B, are competing for the title, which…

A: It is given that the first player who win 4 sets will be awarded as winner of the tournament. The…

Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

A:

Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A:

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Number of cards in a deck are 52 Number of queen cards in a deck are 4. Number of cards being…

Q: In one of the Florida lotter games, one has to match six numbers out of 49 numbers to win. How many…

A: In order to win the lottery, 6 out of the 49 numbers has to match. So if we calculate the total…

Q: A man just bought 6 suits, 11 shirts, and 15 ties. All of these suits, shirts, and ties coordinate…

A: Theory of Combination:

Q: The “Top Three” at a racetrack consists of picking the correct order of the first three horses in a…

A:

Q: Suppose a student is offered a chance to draw a card from an ordinary deck of 52 playing cards and…

A: Probability of an Ace = 1/13 Probability of a King = 1/13 Probability of a queen = 1/13

Q: To play a particular card game, each player is dealt five cards from a standard deck of 52 cards.…

A: Permutations and combinations are used to select arrange a certain number of quantities from a group…

Q: The complement of 4 heads in the toss of 4 coins is At least one tail, Why it cannot be "all…

A: This can be understood as the rule of hypothesis. In which the alternative hypothesis is the…

Q: A tennis game between two players consists of at most five games. The first player that wins three…

A: Let are two players A and B.  Assuming player A is winning game So, the number of ways for winning A…

Q: Suppose there are six blue pens and four red pens in a box. Three pens are drawn from the box…

A: From the given information, Consider, Total pens =10 Total blue pens = 6 Total red pens  = 4

Q: In a race and which six automobiles are entered and there are no ties, and how many ways can the…

A: Solution: From the given information, there are six automobiles.

Q: This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen…

A: The combinations formula is, nr=n!n-r!r! A standard deck consists of 52 cards and 4 suits…

Q: Suppose there are 14 people from which you can choose a President, Vice President, and a Treasurer.…

A: The number of people is 14.

Q: There are 12 people that have entered a gaming tournament with prizes for 1st place, and place, and…

A: Given that there are total 12 people. We will pick 3 different positions. since the order matters,…

Q: 2) The Math Club consists of 15 members. Four of them will represent the school in a math…

A: Given Total number of members of Math Club is = 15

Q: 6. If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider a tournament between N teams, each team playing each of the other teams. How many games…

A: Here   A tournament between N teams, each team playing each of the other teams. We have to find how…

Q: 4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red…

A: Explanation:in this given 52 cards deck asking why  In step2 explanation will there

Q: How many two pairs (two cards with the same face, two more cards with the same face, and another…

A:

Q: At the beginning of a game of chess, the back row consists of two (identical) rooks on the corners,…

A: