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# Zebra Problem - PowerPoint PPT Presentation

Zebra Problem The problem – Who Owns the Zebra – is a classic problem in logical deduction. The elements of the problem require you to identify each item with a house. House Beverage Color Nationality Pet Occupation COT-3100 – Zebra Problem

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The problem – Who Owns the Zebra – is a classic problem in logical deduction. The elements of the problem require you to identify each item with a house.

House

• Beverage

• Color

• Nationality

• Pet

• Occupation

• Who owns the zebra? – attributed to Albert Einstein.

• Five men of different nationalities, with different jobs, live in consecutive houses on a street. These houses are painted different colors. The men have different pets and have different favorite drinks.

• Determine: who owns the zebra and whose favorite drink is mineral water.

• Here are the clues:

• The Englishman lives in the red house.

• The Spaniard owns a dog.

• The green house is on the right side of the white house.

• The Italian drinks tea.

• The Norwegian lives in the first house on the left.

• The photographer breeds snails.

• The Norwegian’s house is next to the blue one.

• The Japanese man is a painter.

• The fox is in a house next to that of the physician.

• The diplomat lives in the yellow house.

• The owner of the green house drinks coffee.

• The violinist drinks orange juice.

• The horse is in a house next to that of the diplomat.

• Milk is drunk in the middle house.

House

• Beverage – Coffee Milk O.J. Tea Water

• Color – Blue Green Red White Yellow

• Nationality – Englishman Italian Japanese Norwegian Spaniard

• Pet – Dog Fox Horse Snail Zebra

• Occupation – Painter Photographer Physican Diplomat Violinist

Each item is treated as an EXCLUSIVE OR within its category

Symbolically representing the relationships, and the NOT relationships:

Violinist  O.J. Spaniard  Dog Japanese Painter

Italian  Tea Norwegian  House 1 White  Green (R)

Photographer  Snails Norwegian  Blue (next) Milk  House 3

Green  Coffee Yellow  Horse (next) Englishman  Red HousePhysician  Fox (next) Diplomat  Horse (next) Diplomat  Yellow

Spaniard | Photographer Italian | House 3 Englishman | Coffee

Englishman | Blue Englishman | House 1/2 Japanese | Photo

Italian | Green Japanese | Violinist

Blue  House 2

Color: Blue Green Red White Yellow

Nationality: Englishman Italian Japanese Norwegian Spaniard

Pet: Dog Fox Horse Snail Zebra

Beverage: Coffee Milk O.J. Tea Water

Occupation: Painter Photographer Physician Diplomat Violinist

Plotting known elements:

Plotting elements that are eliminated from each house:

Results and/or possibilities (from eliminations)

Italian  Violinist/Physician Spaniard  Violinist/Physician :Englishman  Photographer

Spaniard  Violinist  O.J  White

The ZEBRA problem is an excellent exercise in logic flow.

It is also a 5 x 5 matrix, and makes an excellent project for computer analysis.