June 18th, 2019 at 5:16:00 AM
permalink

Hi, i am trying to calculate free spins with increasing multipliers

We start with N free spins and mult = 1, calculated base win is w, each wild adds +1 spin and increase multiplier, (ex 3 wilds = +3 spins and +3 mult)

there is maximum of 1 wild in each trilpet (maximum 1 wild can be shown on a reel)

Navg = N/(1-Ew) - average amount of free spns

multavg = Navg*Ew + 1 - average multiplier

Ew - average amount of wilds (Ew = p1*1+p2*2+...+p5*5, p2 - probability of exactly two wilds on a map)

Navg and multavg in simulation are very close to ones in spreadsheet

Why average win for this bonus isn't equal to Navg*multavg*w? (1.5 times difference)

Making multiplier const = 1 removes all difference (it becomes to small to have statistical significance)

We start with N free spins and mult = 1, calculated base win is w, each wild adds +1 spin and increase multiplier, (ex 3 wilds = +3 spins and +3 mult)

there is maximum of 1 wild in each trilpet (maximum 1 wild can be shown on a reel)

Navg = N/(1-Ew) - average amount of free spns

multavg = Navg*Ew + 1 - average multiplier

Ew - average amount of wilds (Ew = p1*1+p2*2+...+p5*5, p2 - probability of exactly two wilds on a map)

Navg and multavg in simulation are very close to ones in spreadsheet

Why average win for this bonus isn't equal to Navg*multavg*w? (1.5 times difference)

Making multiplier const = 1 removes all difference (it becomes to small to have statistical significance)

June 18th, 2019 at 5:46:38 AM
permalink

I think the problem is that a large number of wilds also give higher base wins. So, when you do get a lot of wilds, you’re getting high multipliers and high base wins. I assume you increase the multiplier during the game in which it appears, which makes a spreadsheet calculation quite difficult, maybe impossible.

I heart Crystal Math.

June 18th, 2019 at 11:43:36 PM
permalink

Hi, it is possible to calculate in the spreadsheet via markov chain.

A[i,j] - probability of spin j to have multiplier i

A[1,1] = 1

A[1,2] = p0

A[2,2] = p1

A[1,3] = p0*p0

etc

if we have n initial spins then

A[i, n+i] = 0

Accuracy of approximation depends on the size of the matrix A

161x161 was enough to get less than 1% difference for 887 average total win from free spins

30x30 was enough for more adequate tapes.

1e5 runs of free spins had 886.13684 av win for one run in simulation, while calculated av win was 887,4267704

Crystal, if you are interested I can share the spreadsheet with you.

A[i,j] - probability of spin j to have multiplier i

A[1,1] = 1

A[1,2] = p0

A[2,2] = p1

A[1,3] = p0*p0

etc

if we have n initial spins then

A[i, n+i] = 0

Accuracy of approximation depends on the size of the matrix A

161x161 was enough to get less than 1% difference for 887 average total win from free spins

30x30 was enough for more adequate tapes.

1e5 runs of free spins had 886.13684 av win for one run in simulation, while calculated av win was 887,4267704

Crystal, if you are interested I can share the spreadsheet with you.

January 8th, 2021 at 12:08:20 AM
permalink

Hi,

could you explain me why the average MP is calculated in this way?

could you explain me why the average MP is calculated in this way?

January 11th, 2021 at 9:27:16 AM
permalink

And what if every time a wild landed on the screen 2 or 3 or more new fs would be triggered?

- Jump to:
DEFUNCT CASINOS Bill's Gambling Hall & Saloon MonteLago O'Sheas Sahara Western FORUM INFO Announcements Help Rules GAMBLING Betting Systems Big Wins Blackjack Craps Dice Setting Gambling with an Edge Online Gambling Other Games Poker Slots Sports Betting Table Games Trip Reports Video Poker GAMBLING OUTSIDE VEGAS Asia Atlantic City California Eastern U.S. Europe/Africa Mississippi Nevada (other) Oceania The Americas Western U.S. GAMING BUSINESS Boyd Gaming Caesars Entertainment Game Inventors Corner MGM/Mirage Other Sands Station Casinos Wynn LAS VEGAS ATTRACTIONS Deals Food and Restaurants Night Clubs Other Attractions/Entertainment Relaxation and Rejuvenation Shopping Shows Strip Clubs Thrill Seeking LAS VEGAS CASINOS Aliante Casino Aria Arizona Charlie's Casinos Bally's Barcelona Bellagio Binion's Boyd Gaming Casinos Caesars Palace Cannery Casinos Casino Royale Casuarina Circus Circus Cosmopolitan D Las Vegas El Cortez Ellis Island Excalibur Flamingo Four Queens Golden Gate Golden Nugget Hard Rock Hilton Hooters Jean/Primm Casinos Longhorn Casino Luxor M Mandalay Bay MGM Grand Mirage Monte Carlo New York, New York Palms Paris Planet Hollywood Plaza Poker Palace Quad, The Rampart Rio Riviera Silver Nugget Silver Sevens Silverton Skyline Small Casinos South Point Station Casinos Stratosphere Treasure Island Tropicana Tuscany Vegas Club Venetian and Palazzo Wynn and Encore OFF-TOPIC Adult Discussions Free Speech Zone General Discussion GLBT Corner Gripes Kiosk Off-Topic Other Casinos Religion QUESTIONS AND ANSWERS Advice All Other Casual Corner Gambling Las Vegas (other than gambling) Math