Flips

Puzzles

• arbitrary.probabilityUsing only the toss of a fair coin, devise an experiment whose probability of success is 1/3. New
• at.least.y.in.a.rowIf the probability of an individual event occurring (heads on a coin, 3 on a die, an error in a received... New
• gamblers.ruinTom has 2 quarters and Jerry 3; they flip fairly, loser paying winner a quarter, until one is broke. New
• once.in.runWhat are the odds that a run of one H or T (i.e., THT or HTH) will occur in n flips of a fair coin?
• optimal.unfair.coinWhich unfair coin best simulates a fair coin, when you know p? New
• reflected.sequenceTwo players alternately flip coins into a row; the first player wins as soon as the whole row is a reflected sequence (a palindrome). New
• twice.in.runWhat is the probability in n flips of a fair coin that there will be two heads in a row?
• unfairGenerate even odds from an unfair coin. Added material
• unfair.three.choicesFind 'p' for an unfair coin [Editor: "as above" in the original], so that the coin can be used to choose... New
• waiting.timeCompute the expected waiting time for a sequence of coin flips, or the probabilty that one sequence of coin... Added material