Given that in 4 flips of a fair coin there are at least two\"heads\", what is the probability that there are two \"tails\"? Thereare ten equally likely outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Yourandomly select one value, call it the initial value. Then, youcontinue to randomly select values, call them follow-up selections,until you come up with the initial value. What is the fewest numberof follow-up selections that insures that the probability is betterthan one-half that you will observe your initial value? (Note: thisproblem assumes values are selected \"with replacement,\" whichsimply means that after each selection, there are still the sameten equally likely outcomes.)
