14. If MIT beats Harvard 35-0, Yale ties Harvard, and Princeton beats Yale 7-6, whatscore differences in the other 3 games (H-P MIT-P, MIT-Y) will allow potential dif-ferences that agree with the score differences? If the score differences are known forthe games in a spanning tree, they are known for all games.

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Answered: 14. If MIT beats Harvard 35-0, Yale…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...

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Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is played in 44 states, Washington D.C., Puerto Rico, and the U.S. Virgin Islands. The game is played by drawing five white balls out of a drum of 69 white balls (numbered 1-69) and one red powerball out of a drum of 26 red balls (numbered 1-26). The jackpot is won by matching all five white balls in any order and the red powerball. (a) Find the possible number of winning Powerball numbers. (b) Find the possible number of winning Powerball numbers when you win the jackpot by matching all five white balls in order and the red powerball.
A person with $2 in her pocket bets $1, even money,on the flip of a coin, and she continues to bet $1 as longas she has any money. Draw a tree diagram to show thevarious things that can happen during the first four flipsof the coin. After the fourth flip of the coin, in how manyof the cases will she be(a) exactly even;(b) exactly $2 ahead?
5.) A delivery driver near the end of his shift needs to deliver six packages to meet his daily quota. Henotes that there are ten packages left in the van. If he randomly chooses six packages, what is theprobability that delivering them in the order picked is the shortest possible route? Does that entailCOMBINATION or PERMUTATION?
Suppose that in a baseball World Series (in which thewinner is the first team to win four games) the NationalLeague champion leads the American League championthree games to two. Construct a tree diagram to show thenumber of ways in which these teams may win or lose theremaining game or games.
A tree diagram has two stages. Stage 1 has three nodes and stage 2 has six nodes. In stage 1, the branch from the starting position to node A is labeled 0.3. The branch from the starting position to node B is labeled 0.2. The branch from the starting position to node C is an answer blank. In stage 2, the branch from node A to node E is an answer blank. The branch from node A to node F is labeled 0.5. In stage 2, the branch from node B to node G is an answer blank. The branch from node B to node H is labeled 0.6. In stage 2, the branch from node C to node I is an answer blank. The branch from node C to node J is an answer blank. Node I is labeled P(I ∩ C) = 0.15. Node J is labeled P(J ∩ C) = 0.35 what are the values of Outcomes P(A ∩ E) = P(A ∩ F) = P(B ∩ G) = P(B ∩ H) =
A tree diagram has two stages. Stage 1 has three nodes and stage 2 has six nodes. In stage 1, the branch from the starting position to node A is labeled 0.3. The branch from the starting position to node B is labeled 0.1. The branch from the starting position to node C is an answer blank. In stage 2, the branch from node A to node E is an answer blank. The branch from node A to node F is labeled 0.5. In stage 2, the branch from node B to node G is an answer blank. The branch from node B to node H is labeled 0.8. In stage 2, the branch from node C to node I is an answer blank. The branch from node C to node J is an answer blank. Node I is labeled P(I ∩ C) = 0.24. Node J is labeled P(J ∩ C) = 0.36. Outcome P(A ∩ E) = P(A ∩ F) = P(B ∩ G) = P(B ∩ H) =
A tree diagram has two stages. Stage 1 has three nodes and stage 2 has six nodes. In stage 1, the branch from the starting position to node A is labeled 0.3. The branch from the starting position to node B is labeled 0.1. The branch from the starting position to node C is an answer blank. In stage 2, the branch from node A to node E is an answer blank. The branch from node A to node F is labeled 0.5. In stage 2, the branch from node B to node G is an answer blank. The branch from node B to node H is labeled 0.8. In stage 2, the branch from node C to node I is an answer blank. The branch from node C to node J is an answer blank. Node I is labeled P(I ∩ C) = 0.24. Node J is labeled P(J ∩ C) = 0.36.
Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random answer generator to determine which of true or false would be the correct answer for each quiz question, but his internet is not working. Instead, he writes each possible answer combination on a small slip of paper, folds each paper in half, and then places them in a box. Without looking, he draws one of the slips of paper. 5. Create a tree diagram to show the possible answer combinations of the first three questions on the take-home assignment.
1. Eight runners join a race. In how many possible ways can they be arranged as first, second and third placers?2. During the Pandemic, the means for transportation is really very difficult, so Pepe bought a bicycle and uses itas his service vehicle to go to his place of work. Unluckily, he forgot the 4-digit lock code of the chain he usesto secure his bicycle. If the code is arranged in a linear pattern, and he only remembers that it has the digits 2,5, 6, and 9, then(a) List all the possible codes.(b) How many codes are there in all?3. How many four-digit numbers can be formed from the numbers 3, 4, 7, 8, 9, and 1 if repetition is not allowed?4. In how many ways can you place 7 different books on a shelf if there is space only for three books?5. In how many ways can four people arrange themselves in a row for picture taking?

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