4 honest poker & casino math tools

① Hold'em Equity Calculator — what the boxes mean

• Enter your two hole cards in compact notation such as AhKd, describe the opponent's range with tokens like 22+, ATs+ or KQs, and set the number of trials.
• The tool deals random boards, ranks the best five-card hand for each side, and reports equity as wins plus half of ties, divided by the number of trials.
• The last box is not a ratio but the break-even equity you need: put 0.33 in it when you must call a third of the pot, and the tool compares that threshold with your equity to print call or fold.
• Watch out for units, which is the most common mistake here. Entering 33 instead of 0.33 turns a sane call into a fold and vice versa, and no error message appears.

② Omaha Hand Strength — the flag and its limits

• Enter your four hole cards and, for your own notes, the opponent ranges you are facing; the ranges are echoed back rather than simulated.
• The nut-advantage label is computed from the shape of your own four cards: how many are broadway ranks, whether they share one suit, and whether the ranks are close together.
• Strong means three broadway cards or two broadway cards in one suit, moderate means two broadway cards unsuited, weak means fewer.
• The key limit: the tool does not enforce the Omaha rule of exactly two hole cards and three board cards, it does not model blockers, and the equity sentence it prints is a general range for pre-flop rather than a measurement of your hand.

③ Blackjack Basic-Strategy Trainer — the switches to set

• Enter your total, mark whether it is soft or hard, mark whether the two cards are a pair, and choose the dealer's up-card from two through ace.
• The soft and hard branches are separate decision tables, so a soft eighteen and a hard eighteen with the same dealer card can produce different answers, exactly as the book intends.
• The pair branch is the easiest to get wrong: it fires on the total value rather than on the specific pair, and it includes a marked surrender line that only makes sense for a narrow set of pairs and dealer up-cards.
• Key caution: the output is a decision, not an expected value against standing, even though the page describes it that way, and it assumes the rules printed under the result box.

④ Baccarat EV Calculator — expectation is not a forecast

• Enter your bet size, the number of hands, the side you are betting, and your bankroll; the tool returns the house edge for that side and the expected loss over that session.
• The reference edges it uses are banker at about 1.06 per cent, player at about 1.24 per cent and tie at about 14.36 per cent, under a standard multi-deck shoe with a commission on banker wins.
• The bankroll line is a sizing reference only — the same expected loss looks different depending on your bankroll, which is the honest argument for a stop limit rather than for a system.
• The tool is explicit that streaks do not change the expectation, because each hand is independent; a run of banker wins is noise, not information about the next hand.