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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 both tiles are red?

 Feb 11, 2023
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There are 24 * 23 = 552 possible pairs of tiles that Steve and Ellen can choose.

Out of these, there are 4 * 4 = 16 tiles that are both red.

So, the probability that both tiles are red is 16/552 = 4/138.

 Feb 11, 2023

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