

Right off the bat (no pun intended), you knew that the only possible four-game series were LLLL and TTTT, each of which had a (1/2) 4 - or 1/16 - chance of happening. Why? Because after the Lines won the first four games, the series would be over. If L and T represented victories for the Lines and the Primes, respectively, then you couldn’t have a seven-game series that was LLLLTTT. One key here was to recognize that not every sequence of seven games was possible. On average, how many games would the series have lasted? (Note that the series ended as soon as one team had won four games.) In other words, both teams were equally likely to win each game of the best-of-seven series. This year’s teams - the Tampa Bay Lines and the Minnesota Twin Primes - were evenly matched. Last week, the American League Championship Series of Riddler League Baseball determined one of the teams that will compete in the Riddler World Series. Submit your answer Solution to last week’s Riddler ExpressĬongratulations to 👏 Tevis Tsai 👏 of Baltimore, Maryland, winner of last week’s Riddler Express. What is the probability that the center of the larger triangle also lies inside the smaller one? With those three randomly selected points, you can form a new triangle inside the original one. You pick three random points, one along each of its three edges, uniformly along the length of each edge - that is, each point along each edge has the same probability of being selected. Suppose you have an equilateral triangle. Whose name does he report?įrom Allen Gu comes a geometric puzzle that he recalls from a university challenge:

(Thufir, being the logician that he is, notes that when someone says thing A is true or thing B is true, both A and B can technically be true.)Īfter playing back the interrogations in his mind, Thufir is ready to report the name of one of the traitors to the duke. Finally, Duncan says that Jessica or Gurney is a traitor. Gurney says that Jessica or Wellington is a traitor. Upon interrogation, Jessica says that she is not the traitor, while Wellington similarly says that he is not the traitor.
