Level 1: Basic probability intuition
Sample spaces, counting, complements, symmetry, and independence — the reflexes every desk screen assumes you already have.
36 problems
First 5 free · rest Premium
- 1→
Sum of Two Dice
●○○○○Warm-up~2 min
- 2→
Chevalier de Méré
●●○○○Easy~4 min
- 3→
Birthday Paradox
●●○○○Easy~5 min
- 4→
Exactly Two Heads in Three Flips
●○○○○Warm-up~2 min
- 5→
Drawing Two Aces
●●○○○Easy~3 min
- 6Premium
Fair Bit from a Biased Coin
●●●○○Medium~6 min
- 7Premium
A Matching Pair of Socks
●●○○○Easy~3 min
- 8Premium
Three Coins, All Alike
●○○○○Warm-up~2 min
- 9Premium
The Rendezvous
●●●○○Medium~6 min
- 10Premium
Even Product
●○○○○Warm-up~2 min
- 11Premium
Two Cards, Same Colour
●●○○○Easy~3 min
- 12Premium
Is the Second Card More Likely Red?
●●○○○Easy~3 min
- 13Premium
Three Dice Alike
●○○○○Warm-up~2 min
- 14Premium
Is the Sum Even?
●○○○○Warm-up~2 min
- 15Premium
At Least One Six in Three Dice
●●○○○Easy~3 min
- 16Premium
Three Points on a Circle
●●●○○Medium~6 min
- 17Premium
Two Points Far Apart
●●○○○Easy~4 min
- 18Premium
The Extra Coin
●●●○○Medium~6 min
- 19Premium
Does One Die Beat the Other?
●○○○○Warm-up~2 min
- 20Premium
Sampling for Defectives
●●○○○Easy~4 min
- 21Premium
Breaking a Stick into a Triangle
●●●○○Medium~6 min
- 22Premium
Sharing a Birth Month
●○○○○Warm-up~3 min
- 23Premium
Buffon's Needle
●●●●○Hard~8 min
- 24Premium
No Two Heads in a Row
●●●○○Medium~6 min
- 25Premium
Probability of a Flush
●●●○○Medium~5 min
- 26Premium
Sum Divisible by Three
●○○○○Warm-up~3 min
- 27Premium
Seated Together?
●●○○○Easy~3 min
- 28Premium
A Random Palindrome
●●○○○Easy~3 min
- 29Premium
Six Before One
●●○○○Easy~3 min
- 30Premium
Closer to the Centre or the Edge?
●●●●○Hard~8 min
- 31Premium
Probability of Two Pair
●●●○○Medium~6 min
- 32Premium
A Run of k Heads
●●●○○Medium~6 min
- 33Premium
Nobody Gets Their Own
●●●○○Medium~6 min
- 34Premium
Balls in Boxes — Four Ways
●●●○○Medium~6 min
- 35Premium
Consecutive Ranks
●●○○○Easy~4 min
- 36Premium
A Void in Bridge
●●●○○Medium~5 min