Monty Hall — Three Doors
Behind one of three doors is a car; the other two hide goats. You pick door 1. The host opens door 3 to reveal a goat. Should you switch to door 2? What's the probability of winning if you switch (as a percent)?
📝 What it trains
Monty Hall — Three Doors — A classic logic puzzle that exercises deductive reasoning, attention to detail and step-by-step planning. Read the problem carefully, work it out, then enter your answer. The solution and full explanation are revealed when you submit.
- Processing speed — how fast your brain handles numerical information.
- Working memory — holding partial results while you compute.
- Sustained attention — staying accurate as the timer pressures you.
🎯 How to play
- Press Start Drill — a new problem appears every round.
- Solve in your head — no scratch paper.
- Type the answer and press Enter.
- Correct answers extend your streak; wrong answers cost no time but reset the streak.
- You have 60 seconds. Beat your high score, then share your result.
🧪 The science
Mental arithmetic recruits the parietal cortex (number magnitude), prefrontal cortex (working memory) and the basal ganglia (procedural fluency). Daily 5-minute drills have been shown to improve fluid intelligence scores in adults over 8 weeks.
💡 Tips & strategy
- Chunk large numbers — 47 + 38 = (40 + 30) + (7 + 8) = 85.
- Round and adjust — 98 × 4 ≈ 100 × 4 − 2 × 4 = 392.
- Memorize squares to 25² — speeds up multiplication and percentages.
- Aim for accuracy first — speed comes naturally with practice.