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?

SoggyPerson Apr 29, 2020

#1**+2 **

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

CentsLord Apr 29, 2020

#2**+2 **

I'm sorry but my website (AOPs)s says that the answes is unfortunately incorrect

LuckyDucky
Apr 29, 2020

#7**+1 **

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!!! :(

CentsLord May 2, 2020

#8**+2 **

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

Guest May 2, 2020

#9**+3 **

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.

Melody May 3, 2020