🧠 The Monty Hall Problem (To Switch or Not to Switch?)…
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🧠 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
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comments
If it reveal a car , will sell it for more goats lool
What's in door 1 is mine 😈
What's in door 1 is mine 😈
:) the royal plural Ram, us and the goats share one big brain cell around here
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💡 SCIENCE BEHIND THE ILLUSION:
YES! You MUST switch. Switching doubles your odds of winning from 1/3 (33.3%) to 2/3 (66.7%)! When you initially picked Door 1, you had a 1/3 chance of being right and a 2/3 chance of being wrong. Monty's elimination of a goat shifts the entire 2/3 probability onto the remaining unopened door.
YES! You MUST switch. Switching doubles your odds of winning from 1/3 (33.3%) to 2/3 (66.7%)! When you initially picked Door 1, you had a 1/3 chance of being right and a 2/3 chance of being wrong. Monty's elimination of a goat shifts the entire 2/3 probability onto the remaining unopened door.