1 reactions
🧠The Boy or Girl Paradox (Conditional Probability)
Mr. Smith has two children. At least one of them is a boy. What is the probability that both children are boys: 50% or 33.3%?
💬 Did you immediately guess 50%? Conditional probability catches almost everyone off guard! (Solution in first comment 👇)
#brain #probability #statistics #mathquiz #counterintuitive
Mr. Smith has two children. At least one of them is a boy. What is the probability that both children are boys: 50% or 33.3%?
💬 Did you immediately guess 50%? Conditional probability catches almost everyone off guard! (Solution in first comment 👇)
#brain #probability #statistics #mathquiz #counterintuitive
1
1 reactions
🧠The False Positive Paradox (The Rare Disease Test)
A rare disease affects 1 in 1,000 people (0.1%). A test for it is 99% accurate (1% false positive rate). You test positive. What is the probability that you actually have the disease: 99% or something else?
💬 Does knowing this change how you interpret medical screening tests? Share your thoughts! (Solution in first comment 👇)
#brain #bayes #statistics #medicine #probabilisticthinking
A rare disease affects 1 in 1,000 people (0.1%). A test for it is 99% accurate (1% false positive rate). You test positive. What is the probability that you actually have the disease: 99% or something else?
💬 Does knowing this change how you interpret medical screening tests? Share your thoughts! (Solution in first comment 👇)
#brain #bayes #statistics #medicine #probabilisticthinking
3 reactions
🧠The Monty Hall Problem (To Switch or Not to Switch?)
You're on a game show with 3 doors. Behind one is a luxury sports car; behind the others, goats. You pick Door 1. The host, who knows what's behind every door, opens Door 3 to reveal a goat. He asks: 'Do you want to switch to Door 2?' Should you switch?
💬 Would you have stayed with Door 1 or switched to Door 2? What was your initial intuition? (Solution in first comment 👇)
#brain #montyhall #probability #statistics #mathparadox
You're on a game show with 3 doors. Behind one is a luxury sports car; behind the others, goats. You pick Door 1. The host, who knows what's behind every door, opens Door 3 to reveal a goat. He asks: 'Do you want to switch to Door 2?' Should you switch?
💬 Would you have stayed with Door 1 or switched to Door 2? What was your initial intuition? (Solution in first comment 👇)
#brain #montyhall #probability #statistics #mathparadox
1