DICE PROBABILITY
Two fair dice • choose an event • get probability
Fraction + % shown • NO SCROLL
DICE
2
This page covers 1 or 2 dice
EVENT
SUM
Pick what you want the dice to do
TARGET (X)
7
Sum target for 2 dice
ROUNDING
2DP
% rounding only
TIP
36
Two dice has 36 outcomes
One die has 6 outcomes
WORKING
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PROBABILITY
READY
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DICE
2
1 or 2 dice
EVENT
SUM
Event type
TARGET (X)
7
Sum target for 2 dice
ROUNDING
2DP
% rounding only
TIP
36
2 dice → 36 outcomes
1 die → 6 outcomes
WORKING
—
—
—
—
—
PROBABILITY
READY
—
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KEY IDEA
Probability = favourable ÷ total
2 dice → total = 36
1 die → total = 6
SUM = X (2 DICE)
Count pairs that add to X
X=7 has 6 ways
(1,6) (2,5) ... (6,1)
AT LEAST ONE = X
Use complement for 2 dice
P(at least one X)=1−(5/6)²
Works for X=1..6 only
EXACTLY K OF X
For 2 dice:
K=0: (5/6)²
K=1: 2×(1/6)(5/6)
K=2: (1/6)²
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