Equity Question

    • maythany
      maythany
      Bronze
      Joined: 18.10.2011 Posts: 1,189
      Hello,

      In general if my opponent and I have the same stack sizes and we both go all in, how much equity would I need to be break even or +EV?

      Say I have QJs in the BB and SB pushes giving me 1:1 on a call, how much equity would I need against his range to make this a profitable call?

      Thanks,

      Maythany
  • 2 replies
    • maythany
      maythany
      Bronze
      Joined: 18.10.2011 Posts: 1,189
      NVM I think I got it.
    • pzhon
      pzhon
      Bronze
      Joined: 17.06.2010 Posts: 1,151
      This is precisely the type of question my program ICM Explorer was designed to answer. The "Call Push?" button tells you how much equity you need to call according to the ICM.

      For example, suppose you are in a tournament with a 50-30-20 prize structure, there are 6 players left with equal 2250 stacks, and the blinds are 200/400 with antes of 50. If you are in the big blind, and the small blind pushes, you need 47.04% equity against the SB's range to call. Here is the output from ICM Explorer.

      Fold: 1800 chips, 0.1386, SD: $16.28
      Win: 4700 chips, 0.2947
      Lose: 0 chips, 0
      Tie: 2350 chips, 0.1727

      Equity needed: 47.04%
      Chip odds: 38.3%
      Risk premium: 8.74%
      Chips gained by marginal call: 410.71.
      Ties count as 58.6% of a win.
      SD of marginal call: $17.29.

      So, although you are getting 5:3 odds from the blinds and antes, you need to be only a little behind the SB's range. If you put the SB on ATC, then you can call with 22+ Qx J5o+ J2s+ T7o+ T5s+ 98o 96s+ 87s.