Mr. L's Probability 'Box' Quiz: (Answer revealed, DU gets a 100% on the quiz)

[mr_lebowski]

16. HA, my hat trick worked. Thanks for doing that :)

Last edited Thu Aug 8, 2019, 11:33 PM - Edit history (2)

Now, if I may, since you're standardizing to choosing 3 and hence comparing it to 4, can you also compare the likelihood of the following 'matches on' as well on for each iteration?

1 matches 3
2 matches 3
5 matches 3
6 matches 3

And let me know what each of those probabilities all are?

EDIT: Nevermind did simulations myself ... you're right, 40% for all of them.

The advantage conferred by the 2/3 rule in the (SG),(GG),(SS) configuration is offset exactly by the probability of the (SG)(SG)(SG) configuration. DERP.

Also ... if it IS (GG), (GS), (SS) always ... there's a 2/3 chance sticking with same drawer is better ... which was how I meant this problem to be