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# HELP VERY URGENT

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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?

Apr 29, 2020

#1
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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

Apr 29, 2020
#2
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I'm sorry but my website (AOPs)s  says that the answes is unfortunately incorrect

LuckyDucky  Apr 29, 2020
#3
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CentsLord  Apr 29, 2020
#4
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No, it was a challenge problem (week  6)

LuckyDucky  Apr 29, 2020
#5
+299
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o_O Those are gonna be a bit difficult

CentsLord  Apr 29, 2020
#6
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Yes I agree

LuckyDucky  Apr 29, 2020
#7
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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!!! :(

May 2, 2020
edited by CentsLord  May 3, 2020
#8
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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

May 2, 2020
#9
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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.

May 3, 2020
#10
+109492
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Actually guests logic is simpler than mine and it is also correct.

Nicely done guest!

May 3, 2020