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A box contains 24 tiles. Each tile has certain properties:

 Each tile is made of wood or plastic.
 Each tile is red, yellow, or blue.
 Each tile is a triangle, square, pentagon, or circle.

There is exactly one tile for each combination of properties. For example, there is one red circle that is made of wood.

Steve chooses one tile, and Ellen chooses a different tile. What is the probability that the two chosen tiles have exactly two properties in common?

 Mar 23, 2024
 #1
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The answer is 6/23

 

Ellen can choose 1*2*3= 6 tiles that are different from steve.

 

There is a total of 23 different tiles because Steve already took one and 24-1=23. 

 

so it is 6/23

 Mar 23, 2024

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