◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠ Gobo appears on a game show and encounters The Monty Hall Problem ◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠ -ˏˋ⠀ inspired by ⠀ˊˎ- @gregatku's project, Game Show Paradox ⤷ https://scratch.mit.edu/projects/236593607/ which demonstrates the counter-intuitive probability of a situation like this. Check it out to run through the choice yourself a bunch of times to get a feel for how the numbers stack up! I liked that the prizes were a car and an apple! :D ◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠ -ˏˋ⠀ also inspired by ⠀ˊˎ- the "How Ironic!" studio ⤷ https://scratch.mit.edu/studios/51083856/ particularly the studio description of situational irony: ⤷ Situational Irony: When a situation's outcome is the opposite of what was expected. ◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠ -ˏˋ⠀ about ⠀ˊˎ- The Monty Hall Problem is a mathematical exercise named after Monty Hall, the host and co-creator of the game show "Let's Make a Deal!" ◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠ -ˏˋ⠀ what's going on ? ⠀ˊˎ- Because the host knows where the big prize is and never opens that door first, the odds of winning the car are not the same as if it were completely random. At your first pick, you have a 1/3 chance of picking a door with a car behind it, and a 2/3 chance of picking an apple. 2/3 of the time you have selected a door with an apple and the host must open the only other apple door, leaving the door with the car as the "switch" option. 1/3 of the time you have selected a door with a car, and the host will pick one of the doors with an apple, leaving the other apple door as the "switch" option. In the above three scenarios, the "switch" door is the winning door 2/3 times, and the "stay" option only wins 1/3 times. ◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠ ︵‿︵‿ ︵‿︵‿ ︵‿︵‿ spoilers ︵‿︵‿ ︵‿︵‿ ︵‿︵‿ spoilers ︵‿︵‿ ︵‿︵‿ ︵‿︵‿ spoilers ︵‿︵‿ ︵‿︵‿ ︵‿︵‿ spoilers ︵‿︵‿ ︵‿︵‿ ︵‿︵‿ spoilers ︵‿︵‿ ︵‿︵‿ ︵‿︵‿ ◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠ But what if the contestant really wants an apple? ;) ◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠◠
