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?

 Mar 5, 2023

There are 3 red tiles out of a total of 24 tiles, so the probability that Steve chooses a red tile is 3/24 = 1/8.

If Steve chooses a red tile, there are now only 2 red tiles left out of a total of 23 tiles. So the probability that Ellen chooses a red tile, given that Steve chose a red tile, is 2/23.

Therefore, the probability that both Steve and Ellen choose red tiles is:

(1/8) x (2/23) = 1/92

So the probability that both tiles are red is 1/92.

 Mar 5, 2023

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