2026

Mathematics & Logic

6 Rigorous Probability Puzzles for Math Logicians

Push your limits with six challenging probability problems fusing deep math concepts and sharp reasoning skills.

#advanced probability#Monty Hall dilemma#birthday paradox#expected values#conditional odds#Bayes theorem

Quiz Intelligence

Total Questions

6

Difficulty Level

hard

Progress

0/0

0%

Quiz Questions

Answer all questions below and test your knowledge.

1
You select door 1 on a show with three doors hiding one car and two goats. Host reveals a goat behind door 3. Probability of car behind door 2 if you switch?
Question 1
2
Disease affects 1% of population. Test is 99% accurate for positives and negatives. Given positive result, probability of having disease?
Question 2
3
Minimum people required for over 50% chance at least two share a birthday in a non-leap year?
Question 3
4
Family has two children, at least one boy. Probability both are boys?
Question 4
5
Fair coin flipped repeatedly until first heads. Expected number of flips?
Question 5
6
Bag has 1 gold and 2 silver coins. Draw two without replacement. Probability second is silver given first was silver?
Question 6

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6 Rigorous Probability Puzzles for Math Logicians

Quiz Intelligence

Quiz Questions

You select door 1 on a show with three doors hiding one car and two goats. Host reveals a goat behind door 3. Probability of car behind door 2 if you switch?

Disease affects 1% of population. Test is 99% accurate for positives and negatives. Given positive result, probability of having disease?

Minimum people required for over 50% chance at least two share a birthday in a non-leap year?

Family has two children, at least one boy. Probability both are boys?

Fair coin flipped repeatedly until first heads. Expected number of flips?

Bag has 1 gold and 2 silver coins. Draw two without replacement. Probability second is silver given first was silver?