Hello everyone, if you have ever tried betting, martingale might not be something new for you.

Therefore recently in class, while i am just feeling bored, i made some calculations.

Winning chance : 98%

Profit : 1% of bet

Betting calculation

Start bet : 100 satoshi

If lose in streak

1st : 100

2nd : 10,000

3rd : 1,000,000

Total cost for 2 streak : 10,100 》 0.00001Btc 》 $0.10

Chance of losing : 2/100 x 2/100 = 4/1,000 》0.4%

Total cost for 3 streak : 1,001,100 》 0.01Btc 》 $10-11

Chance of losing : 2/100 x 2/100 x 2/100 = 8/1000000 = 0.0008%.

1) Is the calculation of losing in 3 streak correct?

2) In your own way of betting, will you prefer to bet at a max losing streak of 2 or losing streak of 3?

3) in streak of 2/3, which one have a better EV if you have a bankroll of $50? is there way to calculate it?

1/ yup, you know how to maths well done

2/ Don't understand your question, there is no difference between streak of 2 and of 3...

3/ That's... The same. EV only depends on the house edge of the casino if I remember correctly.

For 2)

I mean if you have $50

Will you prefer this setting

Start : 100

Increase : x100 on loss

Restart when lose 2 time in row

Total cost for each 2 streak loss : $0.10

Or

Start : 100

Increase : x100 on loss

Restart when lose 3 time in row

Total cost for each 3 streak loss : $10

Hope you get what i mean, its something like will you rather to lose

$0.10 x 100

OR

$10 x 1

I am not a native english speaker, so it might be confusing, sorry for that ;/