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# Quota, Banzhaf Distribution and Shapely-Shubick Distribution

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PLEASE SHOW ALL WORK FOR COMPLETE UNDERSTANDING

1) FIND PROBALITY OF PULLING ETHIER AN EVEN NUMBER CARD OR A RED

NUMBER CARD ON ONE PULL OF A CARD FROM A 52 CARD DECK?

2) IF A BOX CONTAINS 8 RED MARBLES AND 4 BLUE MARBLES FIND THE

PROBALITY OF PULLING BLIND WITH OUT REPLACEMENT A) A RED FOLLOWED BY

A BLUE ? B) A BLUE FOLLOWED BY A RED AND THEN BY ANOTHER BLUE?

3) FIND THE FOLLOWING WEIGHTED VOTING SYSTEM ( 8:6,3,2,1)

A) FIND WHAT PERCENT OF TOTAL WEIGHT IS QUOTA ?

B) FIND THE BANZHHAF DISTRIBUTION IN PERCENTS?

C) FIND THE SHAPLEY -SHUBICK DISTRIBUTION IN PERCENT?

D) FIND ALL DICTATORS, VETO POWER PLAYERS, AND DUMMIES?

https://brainmass.com/math/probability/quota-banzhaf-distribution-shapely-shubick-distribution-41244

#### Solution Preview

what are the number cards on a fifty two card deck
is ace, J Q K excluded
Ishtar: Yes
Ishtar: Face cards are J Q K A
so those are 16 cards that do not meet a number
Ishtar: Yes
Ishtar: Ace can mean '1' but it is still a face card
then the even ...

#### Solution Summary

The expert examines quota, Banzhaf Distribution and Shapely-Shubick Distribution.

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