equity issue with equity calculator software

Question

sorry for what is likely a straightforward question but when using equilab I see the following:

my hand: 8♥8⋄

board (flop+turn): 6♥8♣Q♣K⋄

If I calculate the equity of my hand versus:

• A♣9♣ it is (me/villain): +/- 84/16
• K♣J♣ it is (me/villain): +/- 82/18

since I can only be beaten by a flush both hands have the same number of outs so why is the equity different?

Answer 1

I ran a simulation of around 5K hands and i found the following:

88 vs A9s (84% to win)

• Four of a Kind, won 128 times (3%)
• Full House, won 999 times (20%) <---
• Three of a Kind, won 3113 times (62%)

88 vs KJs (82% to win)

• Four of a Kind, won 116 times (2%)
• Full House, won 900 times (18%) <---
• Three of a Kind, won 3125 times (63%)

I think the "issue" lies to the fact that a K on the board and a K on villain's hole cards reduces the ability for the 88 to hit as many full houses against KJ than against A9 (only 2 kings left).

EDIT

Once again, i upped the sample size to confirm if there are any gaps due to small size above:

88 vs KJs (81% to win, 500k hands)

• Four of a Kind, won 11334 times (2%)
• Full House, won 90622 times (18%)
• Three of a Kind, won 306948 times (61%)

88 vs A9s (84% to win, 500k hands)

• Four of a Kind, won 11302 times (2%)
• Full House, won 101518 times (20%)
• Three of a Kind, won 307754 times (62%)

88 vs KJs (81% to win, 5m hands)

• Four of a Kind, won 112983 times (2%)
• Full House, won 909900 times (18%)
• Three of a Kind, won 3069012 times (61%)

88 vs A9s (84% to win, 5m hands)

• Four of a Kind, won 113070 times (2%)
• Full House, won 1024030 times (20%)
• Three of a Kind, won 3068647 times (61%)

I may be wrong or my code may be wrong, though the statistics are not lying; the 88 vs A9s hits around +2 % more full houses than 88 vs KJs. Additionally, if the KJ hits trips, we will hit full houses then.

Answer 2

The hands are not equivalent. A flush beats trips but a boat beats a flush. The 88 can make a boat with a 6 or K. So the 6 or K on the BOARD are dead for both flush draws. Since one hand holds the K then it is not dead as it is not on the board.

52-8 = 44 cards out

On the A9 neither the 6 or K is good so there are 7 outs.
23457TJ
(44-7)/44 = 84.09%

On the KJ only the 6 is not good so the are 8 outs.
234579TA
(44-8)/44 = 81.18%

6K of clubs would have no flush block and pick up 2 outs to an over boat for 11 outs.