AI Notes: AnaPoker Development Notes

\( s1 (m,n,p,q,r) = \dfrac{52*51*50*49*48}{120} - \dfrac{m(m-1)(m-2)(m-3)(m-4)}{120} \)

\( s2 (m,n,p,q,r) = \dfrac{(m-1)(m-2)(m-3)(m-4)}{24} - \dfrac{n(n-1)(n-2)(n-3)}{24}\)

\( s3 (m,n,p,q,r) = \dfrac{(n-1)(n-2)(n-3)}{6} - \dfrac{p(p-1)(p-2)}{6}\)

\( s4 (m,n,p,q,r) = \dfrac{(p-1)(p-2)}{2} - \dfrac{q(q-1)}{2}\)

\( s5 (m,n,p,q,r) = (q-1) - r \)

\( t0 (m,n,p,q,r) = \dfrac{52*51*50*49*48}{120} \)

\( t1 (m,n,p,q,r) = \dfrac{(m-1)(m-2)(m-3)(m-4)(m-5)}{120} \)

\( t2 (m,n,p,q,r) = \dfrac{(n-1)(n-2)(n-3)(n-4)}{24} \)

\( t3 (m,n,p,q,r) = \dfrac{(p-1)(p-2)(p-3)}{6} \)

\( t4 (m,n,p,q,r) = \dfrac{(q-1)(q-2)}{2} \)

\( t5 (m,n,p,q,r) = r \)

1. Calculate the combinations of all the poker 5-card hands.

2. Derive the indexing method for all the combinations (m,n,p,q,r)

3. Write functions to generate all the combinations from the highest rank.

4. Create the <key.value> pair for the combinations.

5. Create the 21 combinations of the 5-card index for the 7-card hands.

6. Find the highest rank in the 21 combinations.

7. Calculate the estimated win rate after the flop and the turn

Notes:

1. Card number from 52 to 1 by the order AKQJT98765432

2. The total rank of 5-card hands is 7462.

3. Ranks

AI Notes