Containment

[limelight]

[smiticks42]

My first car in 1971.

[limelight]

my first car 1973

[limelight]

Ok, since there is a car behind one of the doors, when we pick a door, there is 1/3 of a chance that the car is behind that door.

This means there is 2/3 of a chance that it is behind one of the other 2 doors.

When the game host opens one of those doors to show nothing is behind it, he gives you additional information, there is still 2/3 of a chance that the car is behind those 2 doors and since it can't be behind the door that is open, then it follows logically that there is 2/3 of a chance it is behind the door that he hasn't opened. So to double your chance of winning you should accept his offer and change your initial pick.

You still don't believe me? Just play the game a few times, first with someone who never changes his 1st choice, and then with someone who always does.

[limelight]

You have two large containers of different size, one is 3 times larger than the other one, and the larger one is nearly full of pure oil, the other one is nearly full of pure vinegar.

You dip a ladle into the oil container and draw an exact ladleful of oil which you now pour into the vinegar container.

You unevenly stir the vinegar+oil container then you dip the same ladle into this container and you draw an exact ladleful of the mixture which you now pour into the oil container.

Bearing in mind the size of the containers, the very small size of the ladle, the fact that oil and vinegar are not miscible and the stirring action mixed the 2 products unevenly in any case, which of the 6 statements below is correct:

1. With the information given it is impossible to say for certain whether the quantity of oil remaining in the vinegar container is larger, equal or smaller than the quantity of vinegar remaining in the oil container.
2. The quantity of oil in the vinegar container is greater than the quantity of vinegar in the oil container.
3. The quantity of oil in the vinegar container is the same as the quantity of vinegar in the oil container.
4. The quantity of oil in the vinegar container is less than the quantity of vinegar in the oil container.
5. The quantity of oil in the vinegar container is PROBABLY greater than the quantity of vinegar in the oil container, but there is a small probability that it is either the same or smaller.
6. The quantity of oil in the vinegar container is PROBABLY smaller than the quantity of vinegar in the oil container, but there is a small probability that it is either the same or greater.

[mAKi]

where do we put the mustard?

students who haven't broken the locker door and won a car, should they also eat the salad?

answer 3: the quantity of oil in the vinegar container is the same as the quantity of vinegar in the oil container
it's like the difference between 1 kg of feather and 1 kg of lead

[limelight]

answer 3: the quantity of oil in the vinegar container is the same as the quantity of vinegar in the oil container
it's like the difference between 1 kg of feather and 1 kg of lead

Correct! It's about time you got one right Val!

[mAKi]

ouf! l'honneur est sauf!

[limelight]

ouf! l'honneur est sauf!

Ok I stop here, it doesn't seem to interest too many people anyway. I'll just leave you thinking about what the imaginary root of the imaginary number might be.

[mAKi]

it's a complex issue