On the weekend 14 friends get together to play a football game with seven players per side. If in the group there are two goalkeepers, six defenders, four forwards and two containment, what is the probability that if the teams are randomly assembled, there is at least one defensive balance, that is, each team has 3 defenders and one goalkeeper?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

1

On the weekend 14 friends get together to play a football
game
with
seven
players per side. If in the group there are two goalkeepers, six defenders, four
forwards and two containment, what is the probability that if the teams are
randomly assembled, there is at least one defensive balance, that is, each team
has 3 defenders and one goalkeeper?
Transcribed Image Text:On the weekend 14 friends get together to play a football game with seven players per side. If in the group there are two goalkeepers, six defenders, four forwards and two containment, what is the probability that if the teams are randomly assembled, there is at least one defensive balance, that is, each team has 3 defenders and one goalkeeper?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON