reply on: What's the best of best 'Game Show' of all time? \ stacker news ~gaming

30 sats \ 14 replies \ @grayruby 1 Jul \ on: What's the best of best 'Game Show' of all time? gaming

I am a big fan of game shows. My kids love to watch them too. I would rank as follows:

Jeopardy
Family Fued
Wheel of Fortune
Price is Right
Who wants to be a millionaire

50 sats \ 13 replies \ @Bell_curve 1 Jul

I agree with your top 3

The Monty Hall problem is a classic. I finally understood the solution 10 years ago

19 sats \ 12 replies \ @grayruby 1 Jul

I still don’t get it.

100 sats \ 2 replies \ @Bell_curve 2 Jul

Monty Hall solution!

I realized I am a terrible remote teacher

The video is 3 minutes

19 sats \ 1 reply \ @grayruby 2 Jul

I get it now. The cards is what helped me understand it.

50 sats \ 0 replies \ @Bell_curve 2 Jul

This is my mission. Helping people understand the Monty Hall problem lol

20 sats \ 8 replies \ @Bell_curve 1 Jul

3 doors 🚪, one prize 🏆

I pick door 🚪 2 which has p = 1/3 where p is probability

That means my chance of getting nothing is 2/3

The combined probability of the two doors 🚪 I didn’t select is 2/3

Now Monty Hall opens door 🚪 3 which has no prize ; this means p = 0 for door 🚪 3

That means door 🚪 1 has p = 2/3

The combined probability of door 1 and door 3 is always 2/3 Since p for door 🚪 3 is 0 then p for door 🚪 1 is 2/3

Monty Hall asks me do I want to stay or choose door 🚪 1

I tell Monty Hall I want to switch , give me door 🚪 1

I double my probability by switching

Monty did us a favor by showing us one empty door

Hope this is clear. It’s easier to explain with pen 🖊️ and paper 📝

19 sats \ 7 replies \ @grayruby 1 Jul

I get the concept but I am struck on the idea that odds go from 2/3 to 1/2 once you eliminate a door.

30 sats \ 0 replies \ @Bell_curve 1 Jul

Let me start over and be more concise

Imagine there are 100 doors You pick 1 door Probability is 1 percent

Monty opens 98 doors with goats

There is a 99 percent chance it’s not the door you selected

20 sats \ 5 replies \ @Bell_curve 1 Jul

The combined probability of two doors is always 2/3

We start with 1/3 + 1/3 + 1/3 = 1

We eliminate a door 1/3 + 0 + 2/3 = 1

The key is your initial selection probability never changes

19 sats \ 4 replies \ @grayruby 1 Jul

Yes but then the combined probability of my door and the one already opened is also 2/3 so if my door plus opened and the door I didn’t pick plus the opened one both are 2/3 why is it beneficial to switch?