Question

In: Statistics and Probability

There are 4 big houses in my home town. They are made from these materials: red...

There are 4 big houses in my home town. They are made from these materials: red marbles, green marbles, white marbles and blue marbles. We know the following facts:

  • Mrs Jennifer's house is somewhere to the left of the green marbles one.
  • The third one along is white marbles
  • Mrs Sharon owns a red marbles house.
  • Mr Cruz does not live at either end, but somewhere to the right of the blue marbles house.
  • Mr Danny lives in the fourth house
  • The first house is not made from red marbles.

Who lives where, and what is their house made from?

Solutions

Expert Solution

For getting the results, a table is needed to be made & the clues are to be used in any order. So the results are:
1) The third house in the row is made up of white marble i.e.

Name
Type of marble White

2) Mrs Jennifer's house is somewhere to the left of the green marbles one. Since there's only one place in the table from where a left block is empty, we get :

Name Mrs Jennifer
Type of marble Green White

3) The first house is not made from red marbles & thus, the first house is made up of blue marble.

Name Mrs Jennifer
Type of marble Blue Green White Red

4) Mr Cruz does not live at either end, but somewhere to the right of the blue marbles house i.e.

Name Mrs Jennifer Mr Cruz
Type of marble Blue Green White Red

5) Mrs Sharon owns a red marbles house & thus, Mr Danny lives in the house made up of white marble.

Name Mrs Jennifer Mr Cruz Mr Danny Mrs Sharon
Type of marble Blue Green White Red

Thus, this is the correct match of the person with their respective house type.
( You might get confused by the line "Mr Danny lives in the fourth house" i.e. lives in the house that is located at the end. But actually this line just tells us that he lives in the house of the fourth type & not in the fourth position. )

Hope this answers your query!


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