Yes, this is the same dang thing I just posted on FB, but some of y’all aren’t on there and might want to know I’m not dead. Plus: posterity.
A bottle of 180 children’s vitamins is divided into three colors (orange, pink, and purple) and four animal shapes (cat, lion, hippo, elephant). Every day, 2 children are presented a selection of approximately 10 vitamins, poured from the top of the jar, from which each selects 2 vitamins, for a total of 4 eaten per day. (The unselected vitamins are returned to the jar.)
IF Child A only wants purple vitamins (without regard to shape) AND Child B only wants cat vitamins (without regard to color), what are the odds each will be pleased with the selection on
– Day 1?
– Day 60?
– Day 90?
For extra credit, at what point in the life of the bottle do the odds of direct conflict between the children over their choices (i.e., the only purple vitamins are cats or vice-versa) rise above 50%? Does it matter which child is allowed to choose first?
Additional discussion: If at least one of the parents of these children believes vitamins are a crock, how did she get into this mess? (Hint: it involves iron vs. lead absorption.)