Pill puzzle, the Glossary
The pill jar puzzle is a probability puzzle, which asks the expected value of the number of half-pills remaining when the last whole pill is popped from a jar initially containing whole pills and the way to proceed is by removing a pill from the bottle at random.[1]
Table of Contents
3 relations: Expected value, Harmonic number, Probability.
- Probability problems
Expected value
In probability theory, the expected value (also called expectation, expectancy, expectation operator, mathematical expectation, mean, expectation value, or first moment) is a generalization of the weighted average.
See Pill puzzle and Expected value
Harmonic number
In mathematics, the -th harmonic number is the sum of the reciprocals of the first natural numbers: H_n.
See Pill puzzle and Harmonic number
Probability
Probability is the branch of mathematics concerning events and numerical descriptions of how likely they are to occur.
See Pill puzzle and Probability
See also
Probability problems
- Balls into bins problem
- Banach's matchbox problem
- Bertrand's ballot theorem
- Bertrand's box paradox
- Birthday problem
- Boy or girl paradox
- Buffon's needle problem
- Buffon's noodle
- Coupon collector's problem
- Gambler's ruin
- German tank problem
- Hamburger moment problem
- Hausdorff moment problem
- Littlewood–Offord problem
- Mabinogion sheep problem
- Mean line segment length
- Moment problem
- Monty Hall problem
- Newton–Pepys problem
- Pill puzzle
- Problem of points
- Secretary problem
- Siegel's paradox
- Sleeping Beauty problem
- Stieltjes moment problem
- Sunrise problem
- Three prisoners problem
- Trigonometric moment problem
- Two envelopes problem
- Urn problem
- Waldegrave problem