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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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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


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COT-3100 – Zebra Problem

  • 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.


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Zebra Problem

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


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COT-3100 – Zebra Problem

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


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COT-3100 – Zebra Problem

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


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COT-3100 – Zebra Problem

Plotting known elements:

Plotting elements that are eliminated from each house:


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COT-3100 – Zebra Problem

Results and/or possibilities (from eliminations)

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


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COT-3100 – Zebra Problem

Spaniard  Violinist  O.J  White


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COT-3100 – Zebra Problem

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.


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