I am running a statistics experiment where I need to calculate certain values. However, this is where I am having difficulty. Here is how the experiment works:
Two Individuals Participate
There is a spinner with 6 labeled tiles[1-6] and a regular die
A player spins the spinner, and throws the die
If the value obtained from adding the sums of the die's value and number on the spinner is 8 or greater, than the individual gets $10, otherwise nothing
The first individual to get $80 in total wins
Calculations
From what I have obtained so far, this is all I know:
$$P(obtaining $10) = 5/11$$ Number of trials to get 80 dollars[using geometric distribution] = $$(5/11)(1-(5/11))^7 = 0.006530$$
However, this just gives me a number between 0 and 1 - how can I turn this into the number of trials needed to obtain $80?
I'm trying to create a probability distribution along with find the the expected value and standard deviation - however, I need some assistance on where to start.