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Three coins · six lines · free

Cast the I Ching

Cast the I Ching with a real throw, not a random pick from 64. Three coins are thrown six times, and each throw gives 6, 7, 8 or 9 — sixes and nines are old lines that turn into their opposite and build a second hexagram. The answer is the move between the two, which is exactly what sites that hand you one random hexagram leave out.

Cast the I Ching Online — Three Coins, Changing Lines, Free

The same question always produces the same throw. That is deliberate: an answer that changes when you ask twice was never an answer.

Why the coins matter

A nine comes up one throw in eight

12.5% each for old yang and old yin — the changing lines. Three coins can only land four ways, and two of them are rare.
37.5% each for the young lines, which stay as they are. That is why most readings have one or two changing lines, not five.
18% of casts — six throws — change nothing at all, and give a single hexagram with no second one to move toward.
Each line value with three coins and with yarrow stalks
Chance of each line value: three coins against the yarrow-stalk methodthree coinsyarrow stalks6 old yin12.5%6.3%7 young yang37.5%31.3%8 young yin37.5%43.8%9 old yang12.5%18.8%Arithmetic of both methods: 1:3:3:1 of 8 and 1:5:7:3 of 16astrohot.com

Both methods change a line one throw in four, so over six throws a cast has no changing line 17.8% of the time, one 35.6%, two 29.7% and three or more 16.9%. The yarrow stalks differ in which lines change: an old yang is three times as likely as an old yin.

These are not opinions about the method, they are what three coins do. Each coin is heads or tails, so a throw sums to 6, 7, 8 or 9 with probabilities 1:3:3:1. A site that hands you one of 64 hexagrams at uniform random is not doing this and cannot produce changing lines at all.

None of it is prediction. It is a randomizer attached to a text more than 2,500 years old. What the text is genuinely good at is forcing a question into words specific enough to answer.

The eight trigrams

Every hexagram is two trigrams stacked — a lower one for the inner situation and an upper one for the outer. Recognizing the eight is the quickest way to read a cast before opening the text.

TrigramNameImageQualityFamily
☰ Qian Heaven creative force Father
☱ Dui Lake joy and openness Youngest daughter
☲ Li Fire clarity and attachment Middle daughter
☳ Zhen Thunder arousal and shock Eldest son
☴ Xun Wind gentle penetration Eldest daughter
☵ Kan Water danger and depth Middle son
☶ Gen Mountain stillness and limit Youngest son
☷ Kun Earth receptive yielding Mother

Reading a cast in four steps

  1. Write the question down. Open questions — "what should I understand about this move?" — work better than yes-or-no ones.
  2. Read the first hexagram as the situation as it stands, starting with its Judgement and Image.
  3. Read only the changing lines — the sixes and nines — because they show where the situation is under pressure; unchanging lines are not read.
  4. Read the second hexagram as where things are heading once those lines have turned.

If there are no changing lines, the answer is the first hexagram alone. If all six change, traditional practice reads the second hexagram’s Judgement, and for Qian and Kun the special seventh line text. Where the texts come from →

Cite this page

AstroHot. “Cast the I Ching Online — Three Coins, Changing Lines, Free.” Accessed October 29, 2026. https://astrohot.com/i-ching/cast/

For Wikipedia {{cite web |title=Cast the I Ching Online — Three Coins, Changing Lines, Free |url=https://astrohot.com/i-ching/cast/ |website=AstroHot |access-date=2026-10-29}}