1. A woman has her purse snatched by two teenagers. She is subsequently shown a police lineup consisting of five suspects, including the t wo perpetrators. Wha t is the sample space associated with the experimen t "Woman picks two suspects out of Jineup''? Which outcomes are in the event A: She makes at least one incorrect identification?
2. Consider the experiment of choosing coefficients for the quadratic equation a.x2 + bx + c = 0. Cbaracterize the values of a , b, and c associated w:ith the event A: Equation has imaginary roots.
3. In the game of craps. the person rolling the dice (the shooter) wins outright ifhis first toss is a 7 or an 11. H his first toss is a 2, 3, or 12. he loses ou t right. Ifhis first roll is something else, say, a 9, that number becomes his "point'' and he keeps rolling the dice until he either rnUs another 9, in which case he wins, or a 7, in which case he loses. Cbaracterize the sample outcomes contained in the event "Shooter wins with a point of 9."