Higher or Lower Card Game: Rules, Odds and Best Guess
Higher or Lower is the simplest card game there is. A card is turned face up, you guess whether the next card will be higher or lower, and you keep going until you get one wrong. It needs one deck, no setup and no skill beyond a little sense of the odds, which is why it works for children, parties and classrooms alike.
What You Need
- One standard 52-card deck, without jokers.
- One or more players.
- Optional: counters or points to keep score.
No cards? Use our Random Number Generator set from 1 to 13 instead, where 1 is an ace, 11 a jack, 12 a queen and 13 a king.
How to Play
- Shuffle and turn over the first card. Aces are usually low (1), and kings high (13). Suits do not matter.
- Guess. Say whether the next card will be higher or lower than the one showing.
- Turn over the next card. If you were right, it becomes the new card to beat and you guess again.
- Wrong guess ends your run. Count how many you got right in a row. The next player shuffles and starts again.
- Winning. The longest run wins. Or set a target: get, for example, five in a row to win the round.
Rules to Agree On
- Same value: if the next card has the same rank, it usually counts as wrong. Some players let you carry on, or redeal.
- Aces: low (1) is the usual rule. Aces high works just as well if everyone agrees.
- Group play: everyone guesses at once, standing up; wrong guesses sit down and the last player standing wins.
- Bank your points: after each right guess you may stop and keep your points, or risk them on the next card.
The Best Guess for Every Card
The rule is simple: guess higher on a low card and lower on a high one. Here are the exact chances for the second card of a fresh deck, where a card of the same rank counts as wrong:
| Card showing | Best guess (chance it is right) |
|---|---|
| Ace (low) | Higher (94%) |
| 2 | Higher (86%) |
| 3 | Higher (78%) |
| 4 | Higher (71%) |
| 5 | Higher (63%) |
| 6 | Higher (55%) |
| 7 | Either (47%) |
| 8 | Lower (55%) |
| 9 | Lower (63%) |
| 10 | Lower (71%) |
| Jack | Lower (78%) |
| Queen | Lower (86%) |
| King | Lower (94%) |
A 7 is the hardest card: higher and lower are equally likely, and with ties counting as wrong you are right only 47% of the time. Ties make about 6% of every guess a loss, whatever you say.
How Long Can a Run Last?
We simulated 200,000 runs of a player who always makes the best guess, with ties counting as wrong:
| Correct guesses in a row | Chance (best guess every time) |
|---|---|
| At least 1 | 72% |
| At least 3 | 35% |
| At least 5 | 17% |
| At least 7 | 8% |
| At least 10 | under 3% |
The average run is about 2.4 correct guesses. Five in a row is a good score; ten is rare.
Does Counting Cards Help?
A little, but less than you might expect. Remembering which cards are gone lets you adjust the odds: after three kings have come out, a queen is a safer "lower" than usual. But in a run that ends on the first wrong guess, you only see a few cards, so in our simulation counting raised the chance of a five-card run by only a fraction of a percent. Counting matters more in long versions of the game where you play through the whole deck.
What does not help is going by streaks. Five "higher" answers in a row do not make "lower" due; only the card showing and the cards left matter. That mistake is called the gambler’s fallacy.
Higher or Lower on TV
The game is best known from TV game shows built around it, such as Card Sharks in the United States and Play Your Cards Right in the United Kingdom, where contestants called higher or lower on a row of giant cards. The basic guessing game itself is much older and has long been played in homes and pubs. For a card game with no choices at all, try War.
In the Classroom
Higher or Lower is a quick probability lesson. Ask children to count how many cards are higher and how many lower before they guess, and they discover the table above for themselves. For the version with a number generator and more ideas, see our random number games.
FAQ
How do you play Higher or Lower?
Turn over a card from a shuffled deck and guess whether the next card will be higher or lower. If you are right, guess again from the new card. Your run ends on the first wrong guess, and the longest run wins.
What is the best strategy in Higher or Lower?
Guess higher on a 6 or below and lower on an 8 or above. A 7 is a coin toss. If you remember which cards have gone, adjust towards the side with more cards left.
What happens if the cards are the same in Higher or Lower?
It depends on the house rules. Usually a card of the same value counts as a wrong guess; some players let you carry on.
Are aces high or low in Higher or Lower?
Usually low, so an ace counts as 1 and a king as 13. Aces high also works; just agree before you start.
What are the odds of getting five in a row in Higher or Lower?
With the best guess every time and ties counting as wrong, about 17% of runs reach five correct guesses in a row.