Pyramid Prize Progression Odds

I am trying to figure out the odds for a promotion something like the one below. A player would need to correctly guess 1 of the 8 icons on the bottom row in order to move on to the next row, otherwise, they receive the prize that appears in that row. They would then need to correct guess the icon from the 2nd row (a 1 in 8 shot) to move on to the new row, this continues until they reach the top level, or receive the instant prize that correlate to the icon they selected. The prizes would increase for each level that the player guesses correctly and advances to. How would I appropriately calculate the odds of moving up each level?

X 100%
X X 50%
X X X X 25%
X X X X X X 17%
X X X X X X X X 13%
X X X X X X X X X X 80%

Quote: gaminggirl

I am trying to figure out the odds for a promotion something like the one below.

				    X							100%
				X	X						50%
			X	X	X	X					25%
		X	X	X	X	X	X				17%
	X	X	X	X	X	X	X	X			13%
X	X	X	X	X	X	X	X	X	X		80%

OK. I see you lost your formatting.
I placed it in a code tag to have it show how you intended it to be seen.
neat

Quote: gaminggirl

A player would need to correctly guess 1 of the 8 icons on the bottom row in order to move on to the next row

it looks like to me guess 1 of 8 from 10, got it.
this sounds fun!

Quote: gaminggirl

otherwise, they receive the prize that appears in that row.

that could be fun too.

Quote: gaminggirl

How would I appropriately calculate the odds of moving up each level?

Just multiply each probability at each step
this way should work to get to the top row
1 in (I did the inverse approach. that is 1/p)
1.25*8*6*4*2*1 = 1 in 480
or 1/480

To only get to the 2nd row and not higher would be
8/10 * 7/8
you win the first * you lose the 2nd

Sally