+188 A box contains 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 differ with respect to all three properties?
+770 There's a 1/2 chance the tiles will differ in material (wood or plastic).
There's a 1/3 chance the tiles will differ in color (r, y or b)
There's a 1/4 chanec the tiles will differ in shape (t, s, p or c)
So, there' s a 1/2 * 1/3 * 1/4 = 1/24 chance the two tiles will differ in respects to all the 3 properties! :D
+639 I'm sorry but my website (AOPs)s says that the answes is unfortunately incorrect
+770 I see where I went wrong.
There's a 1/2 chance the tiles will differ in material (wood or plastic).
However, there/s a 2/3 chance (not a 1/3 chance) the tiles will differ in color.
There's also a 3/4 chance (not a 1/4 chance) the tiles will differ in shape.
So, there's a 1/2 * 2/3 * 3/4 = 1/4 chance the two tiles will differ in respects to all the 3 properties! :D
I am actually in your class
EDIT: WRONG AGAIN!!! :(
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
+118673 I agree with 6/23
I did it with a probability tree.
Say you chose a red wood triangle
there are 2*3*4 = 24 blocks, you chose one and there are 23 blocks left
12 of those are NOT wood
Of the 12 that are not wood, 2/3 of them are not red, that is 8 are not red or made of wood
Of these 8, 3/4 of them are not a triangle so that is 8*3/4 = 6 are not made of wood, or red or a triangle
So that is 6/23 will not share any of the same traits.
If you draw a probability tree it might be easier for you to see.
