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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 18, 2023
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In this problem, in total there are 2 x 3 x 4 = 24 possibilities of tiles. Out of those 2 x 4 = 8 are red. So the chance Steven gets a red tile in 8/24 or 1/3. But now that Steven took out a tile there are only 23 tiles left. And because seteven took one of the 8 red tiles, there are now only 7 red tiles. So 1/3 x 7/23 = 7/69

 Feb 18, 2023

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