Math

Two teams are playing in a best of seven playoff series. The first team to win four games wins the series. Ties are broken through sudden decision overtime. If the teams are evenly matched:
What are the odds in favour of either team sweeping the series, in which one team wins four consecutive games??? What are the odds against the series going a full seven games???

The answer says 1:7 for odds in favour, and 11:5 for against. I get 1:15 for the first, and I don't know how to get started on the second..

  1. 👍 0
  2. 👎 0
  3. 👁 748
  1. favor=Pr(w,w,w,w)=2(1/2)^4=1/8 which is 1:7

    notice the two in front, you asked for the pr of EITHER team.

    against:
    same as 1-prob that it is cleared in six games
    how to go six games
    wwwllw
    wwllww
    wwlwlw
    wllwww
    wlwlww
    wlwwlw
    lwwwlw
    lwwlww
    lwlwww
    llwwww
    the probability of those events added together is
    2(1/2)^6*10=20/64=10/32

    now prob of being cleared in five games
    wwwlw
    wwlww
    wlwww
    lwwww
    pr of that is 2(1/2)^5*4=1/4

    pr cleared in four games is 1/8
    so proab against going seven games is sum of prob going 4,5,or 6 games

    10/32+1/8+1/4= 22/32=11/16 , so the probabiliity of going seven games is
    1-11/16=5/16 which is 11:5 odds

    1. 👍 1
    2. 👎 0
    👨‍🏫
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. forces

    Two teams of nine members each engage in a tug of war. The first team's members have average masses of 64 kg and exert average forces of 1350 N horizontally. The second team's members have average masses of 69 kg and exert average

  2. math

    To win the World Series, a baseball team must win 4 games out of a maximum of 7 games. To solve the problem, list the possible arrangements of losses and wins. How many ways are there of winning the World Series in exactly 6 games

  3. Math...again

    Check my answers? The table below shows the scores for two teams playing a series of four card games. Game1|Game2|Game3|Gm4 Team1: -3 | 2 |-4. | 4 Team2: 4. |-5. | 9. | -9 A. Find the totals for each team after two games B.if the

  4. Math

    Hillside has 12 teams. Each team plays each other teams twice. How many games are played?

  1. Math

    In the NFL, a division consists of 4 teams, each of which plays each other team twice. Assume that in any game, either team is equally likely to win (and there are no ties). What is the probability that, at the end of the season,

  2. algebra

    Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 53 points. They won 10 more games than they tied. How many wins and how many ties did the team have? How many wins

  3. algebra

    Hockey Teams Receive 2 Points When They Win And 1 Point When They Tie. One Season A Team Won A Championship With 65 Point. They Won 10 More Games Than They Tied. How Many Wins And How Many Ties Did The Team Have?

  4. Math

    A back-to-back stem-and-leaf plot showing the points scored be each player on two different basketball teams is shown below. Team 1 | | Team 2 6 1| 0| 3 7 8 4 2| 1|4 6 8 9 9 6 3| 2|5 7 Key: 4|0|2 means 4 points for Team 1 2points

  1. Physics

    Two geological field teams are working in a remote area. A global positioning system (GPS) tracker at their base camp shows the location of the first team as 41 km away, 24° north of west, and the second team as 33 km away, 37°

  2. statistics

    Consider a Stanley Cup playoff series in which the Toronto Maple Leafs hockey team faces the Ottawa Senators. Toronto hosts the first, second, and if needed, fifth and seventh games in this best-of-seven contest. The Leafs have a

  3. Math

    Toronto is playing Anaheim in the Stanley cup final. The first team to win four games is the new NHL champion. If the probability of that Toronto will win any game is 0.55 determine the probability that Anaheim wins the Stanley

  4. math

    Two teams, the Exponents and the Radicals, square off in a best of 5 math hockey tournament. Once a team wins 3 games, the tournament is over. The schedule of the tournament (for home games) goes: E-R-E-R-E If the Exponents are

You can view more similar questions or ask a new question.