DSchles said:
it could have taken him weeks, if not months, to generate and develop the indices that he published in his book.
16 vs 10
7.69% chance of dealer having a blackjack and losing 1 unit
Hitting
8/13 chance of busting if you hit = 61.54% chance of losing 1 unit
7.69% chance of you getting 21
Dealer has a 7/13 chance of having 17-20 = 54.85% of winning immediately when you hit and get 21
If the dealer has a 6 as their hole card, 61.54% chance of them busting
If the dealer has a 5 as their hole card, 53.85% chance of them busting
If the dealer has a 4 as their hole card, 46.15% chance of them busting
If the dealer has a 3 as their hole card, 38.46% chance of them busting
If the dealer has a 2 as their hole card, 30.77% chance of them busting
1/13 chance of the dealer having each of the possibilities above. (1/13)*(61.54%)+(1/13)*(53.85%)+(1/13)*(46.15%)+(1/13)*(38.46%)+(1/13)*(30.77%)= about 17.75% chance of winning because the dealer busted a stiff hand. It's a little more because I didn't do the math for the dealer hitting and getting another stiff hand.
Chance you get 21 when hitting = 7.69% * (54.85 + 17.75) = 5.58% chance of you winning 1 unit by hitting and getting 21
Repeat for you getting 20, 19, 18, and 17 and add up your chances of winning 1 unit. Then subtract the chance of you losing 1 unit by busting at the beginning or the dealer beating you. This is the average amount that you will win/lose for this playing decision in the long run, aka Expected Value.
Do the same thing with a true count of +1 and you would have to adjust the chances of getting a 10 or A. 4 tens and 1 ace means a +1 is on average 0.8 more tens and 0.2 more aces in the deck. 52 cards in a deck means 1/13 chance of getting an ace becomes 4.2/52 and 4/13 chance of getting a ten becomes 16.8/52.
It's just math. It's not that complicated, only time consuming. You can't claim math as intellectual property. I don't understand how you think that indices can be copyrighted.