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One Pair

How is probability affected when using mutiliple pairs of dice instead of one pair?

When we play settlers of catan we use a pair of dice per player. Firstly, how can I calculate the probability of rolling any given number when one set is used and passed around; secondly, how can I calculate the probability of rolling any given number when each player has their own pair of dice?

Catan!!!!! I love that game!!!! Play it all the time.
The probability of rolling each number is displayed on the number tokens (each dot represents the number of times it will be rolled in 36 turns).
Adding more pairs of dice does not change the probability of a certain roll at all. Believe it or not, if you roll a 2, you have just as good a chance of rolling a two on the next turn as you did the previous turn. But I have noticed this... if you have more than 7 cards in your hand you always roll a 7. Am I right or am I right?
But seriously, probability does not change based on the number of pairs of dice being used. Each roll is completely random and completely independent of any other roll.

I'll trade you two ore for one brick... I need to build a freaking road!!!!

Find One Pair On eBay Below:

One Pair 2 Carved Wood Bar Bracket Corbel 2 5 8 x 9 x 13 1 8 CORS RW
One Pair 2 Carved Wood Bar Bracket Corbel 2 5 8 x 9 x 13 1 8 CORS RW
$126.12
Foundation Vent Plug One Pair Pre Attached Lightweight White Polystyrene 1 Pack
Foundation Vent Plug One Pair Pre Attached Lightweight White Polystyrene 1 Pack
$12.01
NEW LEVITON T8 or T12 HO SOCKETS MODELS 13464  13465 ONE PAIR
NEW LEVITON T8 or T12 HO SOCKETS MODELS 13464 13465 ONE PAIR
$4.95
One Pair 2 Small Acanthus Wood Corbel 4 1 2 x 5 x 10 Item  CORBB 1 RW
One Pair 2 Small Acanthus Wood Corbel 4 1 2 x 5 x 10 Item CORBB 1 RW
$123.89
One Pair White Birch Wood Corbels 3 x 10 x 14 Transitional Bar Bracket
One Pair White Birch Wood Corbels 3 x 10 x 14 Transitional Bar Bracket
$85.90
2 Corbels One Pair Traditional Wood Bar Brackets 3 x 6 1 2 x 10
2 Corbels One Pair Traditional Wood Bar Brackets 3 x 6 1 2 x 10
$48.50
One Pair White Birch Wood Corbels 3 x 6 x 18 Transitional Bar Brackets
One Pair White Birch Wood Corbels 3 x 6 x 18 Transitional Bar Brackets
$69.95
One Pair White Birch Wood Corbels 3 x 8 x 9 Transitional Bar Brackets
One Pair White Birch Wood Corbels 3 x 8 x 9 Transitional Bar Brackets
$52.86
One Pair Two Corbels Mission Style Bar Bracket Corbels 3 x 6 x 14
One Pair Two Corbels Mission Style Bar Bracket Corbels 3 x 6 x 14
$76.56
2 One Pair Fleur de lis Appliques 3 3 4 x 5 16 x 4 1 4  PAPL 14
2 One Pair Fleur de lis Appliques 3 3 4 x 5 16 x 4 1 4 PAPL 14
$10.50
Two One Pair 2 x 7 5 8 x 10 Art Deco Corbels Item COR5 3
Two One Pair 2 x 7 5 8 x 10 Art Deco Corbels Item COR5 3
$115.00
National Hardware N269 076 34 L x 8 H Stainless Steel Kick Plate One Pair
National Hardware N269 076 34 L x 8 H Stainless Steel Kick Plate One Pair
$32.45
One Pair Two Pieces Acanthus Traditional Fireplace Corbel 8 x 8 x 36
One Pair Two Pieces Acanthus Traditional Fireplace Corbel 8 x 8 x 36
$878.70
One Pair Two Pieces Scandinavian Romanesque Transitional Fireplace Corbels
One Pair Two Pieces Scandinavian Romanesque Transitional Fireplace Corbels
$665.95
One Pair Two Pieces English Romanesque Traditional Fireplace Corbels
One Pair Two Pieces English Romanesque Traditional Fireplace Corbels
$955.55
One Pair Two Pieces Fluted Art Deco Fireplace Corbel 8 x 8 x 36
One Pair Two Pieces Fluted Art Deco Fireplace Corbel 8 x 8 x 36
$838.54
One Pair Two Pieces Baroque Traditional Fireplace Corbels 8 x 7 x 36
One Pair Two Pieces Baroque Traditional Fireplace Corbels 8 x 7 x 36
$936.70
One Pair Two Pieces Rounded Traditional Fireplace Corbel 8 x 8 x 36
One Pair Two Pieces Rounded Traditional Fireplace Corbel 8 x 8 x 36
$798.42
One Pair 2 PCS German Romanesque Transitional Fireplace Corbel 8 x 7 x 36
One Pair 2 PCS German Romanesque Transitional Fireplace Corbel 8 x 7 x 36
$689.36
ONE PAIR 2 SILICON BRONZE BRASS CAP SCREW HEX HEAD MACHINE BOLTS 3 4 10 X 4
ONE PAIR 2 SILICON BRONZE BRASS CAP SCREW HEX HEAD MACHINE BOLTS 3 4 10 X 4
$23.99
One Pair 2 BLACK 1 1 2 X 10 X 13 1 2Iron Scrolled Bar Bracket MCOR1
One Pair 2 BLACK 1 1 2 X 10 X 13 1 2Iron Scrolled Bar Bracket MCOR1
$145.38
One Pair Traditional Medium Range Hood Corbels 3 3 8 x 10 x 9 COR9 2
One Pair Traditional Medium Range Hood Corbels 3 3 8 x 10 x 9 COR9 2
$119.02
One Pair 2 CorbelsTraditional Wood Bar Brackets 3 x 5 1 2 x 8 CORG 4 RW
One Pair 2 CorbelsTraditional Wood Bar Brackets 3 x 5 1 2 x 8 CORG 4 RW
$42.00
One Pair Low Profile Small Wood Corbel Acanthus Detail 2 3 4 x 1 3 8 x 6
One Pair Low Profile Small Wood Corbel Acanthus Detail 2 3 4 x 1 3 8 x 6
$69.00
One Pair 2 1 1 2 X 10 X 13 1 2Iron Scrolled Bar Bracket  MCOR1 DBAC
One Pair 2 1 1 2 X 10 X 13 1 2Iron Scrolled Bar Bracket MCOR1 DBAC
$145.37
One Pair Mission Style Bar Bracket Corbels 3 x 6 x 14  CORH RW
One Pair Mission Style Bar Bracket Corbels 3 x 6 x 14 CORH RW
$76.56
HILTI I BEAM CLAMPS MI SGC M12 233859 ONE PAIR in this lot  2 clamps GERMAN
HILTI I BEAM CLAMPS MI SGC M12 233859 ONE PAIR in this lot 2 clamps GERMAN
$19.99
Spee Dee Sawhorse Brackets one pair medium duty for 2x4 lumber
Spee Dee Sawhorse Brackets one pair medium duty for 2x4 lumber
$5.00
One Pair Mission Style Wood Corbels 3 x 6 x 14
One Pair Mission Style Wood Corbels 3 x 6 x 14
$89.79
One Pair Small Acanthus Wood Corbel 4 1 2 x 5 x 10
One Pair Small Acanthus Wood Corbel 4 1 2 x 5 x 10
$145.07
Partition Door Pull Ada One Pair Package Of 2
Partition Door Pull Ada One Pair Package Of 2
$44.25
STANLEY 57 3515 10 INCH STRAP GATE HINGE WITH 7 3 16 X 5 8 BOLT HOOK ONE PAIR
STANLEY 57 3515 10 INCH STRAP GATE HINGE WITH 7 3 16 X 5 8 BOLT HOOK ONE PAIR
$12.99
STANLEY 57 3393 6 INCH STRAP GATE HINGE WITH 7 3 16 X 1 2 BOLT HOOK ONE PAIR
STANLEY 57 3393 6 INCH STRAP GATE HINGE WITH 7 3 16 X 1 2 BOLT HOOK ONE PAIR
$12.99
ALINE SET WALL POST FORM ALIGNMENT BLOCK SET ONE PAIR PER PACK
ALINE SET WALL POST FORM ALIGNMENT BLOCK SET ONE PAIR PER PACK
$6.00
9R75 PAIR OF TUBE BULBS FROM WORK LIGHT ONE IS PHILIPS WATTAGE NOT MARKED VGC
9R75 PAIR OF TUBE BULBS FROM WORK LIGHT ONE IS PHILIPS WATTAGE NOT MARKED VGC
$9.00
One pair of Aqua seal washers
One pair of Aqua seal washers
$3.99
Box of 2 One Pair Wood Bar Bracket Corbels 3 x 6 1 2 x 12 CORG RW
Box of 2 One Pair Wood Bar Bracket Corbels 3 x 6 1 2 x 12 CORG RW
$44.90
One Pair Acanthus Scrolled Corbels Bar Brackets 2 5 8 x 9 x 13 1 8
One Pair Acanthus Scrolled Corbels Bar Brackets 2 5 8 x 9 x 13 1 8
$126.12
One Pair 2 Corbels Art Deco Corbel 2 x 7 5 8 x10
One Pair 2 Corbels Art Deco Corbel 2 x 7 5 8 x10
$135.36
One Pair 2 Corbels Art Deco Corbel 2 x 6 x 8
One Pair 2 Corbels Art Deco Corbel 2 x 6 x 8
$100.60


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