I've been trying to search online for this and I'm not coming up with anything. It's relatively easy to determine, within a standard deviation, what your probability is for single-line games such as 9/6 Jacks. What I'm not sure about, however, is for 50/100 play games, with a given bankroll.
For example -- a few months ago, a friend wanted me to calculate probabilities for getting Diamond in a Day on a $5 9/6 machine, without factoring in cashback/comps/etc. I came up with the following (I don't have my work here, sorry):
-$8,900 to -$5,200: 0.16%
-$5,200 to -$1,500: 32%
-$1,500 to $2,200: 59%
$2,200 to $5,900: 4.2%
I'm trying to find something similar, but for, say, a $1 50-play 9/6 Jacks machine. How would I go about this? I don't know how the multi-hand aspect of it changes variance (other than to say "it increases it by some number").
