BMAD

Well done!

I should have stated in the OP that the will dictates that someone must have some if not all of the items so no selling it to a third party option. Thank you to Pickett and Bushindo for assuming correctly in this regard.

Love this problem. Here's how I would approach it. If one of the people got the house which in Sonya's case means the house is worth 2.6 million should she also get 1/4 of the value back? Sounds like she got an incredible discount.

Is there a way to ensure that all five parties are satisfied (lawyer included)?

An old man left his fortune and goods to his four children. In the will it stated that each item should be divided up fairly so that each person should have an equal share. Unfortunately, the lawyer found that each person appraised the objects' worth differently and no official appraiser was nearby. The lawyer had each of the children complete a simple little informal appraisal of each of the major items. The results are as follows: Albert: Piano= 1,000 Ring= $120 Home= 2,000,000 Appliances= $500 Wardrobe= $50 Eric: Piano= 1,500 Ring= $20 Home= 2,600,000 Appliances= $200 Wardrobe= $10 Theresa: Piano= 900 Ring= $75 Home= 1,500,000 Appliances= $350 Wardrobe= $10 Sonya: Piano= 1,150 Ring= $150 Home= 4,000,000 Appliances= $750 Wardrobe= $0 The deceased also had a net value of $12,000,000. How should the lawyer divide up the assets using only this given information to where each person walks away with an equal (or better than equal) percentage of the deceased's worth?

Care to share your solution?

The bags are picked at random but there is a flaw in your logic.

nope

nope

nope

nope

nope

nope nope

no to all three

nope

Three bags contain 6 marbles each; all white or black: one bag has 5 white and 1 black, another has 4 white and 2 black, the third has 3 white and 3 black. One white marble is drawn from one bag and one black marble is drawn from another (it is not known which bags). What is the probability of drawing a white marble from the remaining bag?

nope

Yes. No.

nope.

The sum of the reciprocals of two real numbers is −1, and the sum of their cubes is 4. What are the numbers?

no.