5) A study found that 6% of damaged iPads were damaged by "bags/backpacks." If 20 damaged iPads are randomly selected, find the probability of getting at least one that was damaged in a bag/backpack. P(at least one damaged in bag) = 1 - P (none damaged by bags) = 1 - P (All 20 damaged by something else) =1 - P(1st and 2nd and 3rd ...and 20th damaged by something else) = 1 - [P( one damaged by something else)]20 = ___________________________________________________________________________

9) A history pop quiz asks students to arrange the following presidents in chronological order: Hayes, Taft, Polk, Taylor, Grant, Pierce. If an unprepared student totally guesses, what is the probability of guessing correctly? P(correct) = _____________________ 10) The 140th running of the Kentucky Derby had a field of 19 horses. (a) How many different trifecta bets are possible? Number of trifectas = __________________________ (b) If a bettor randomly selects three of those horses for a trifecta bet, what is the probability of winning by selecting California Chrome to win, Commanding Curve to finish second, and Danza to finish third, as they did? P(winning trifecta) = ________________________________ 11) In the Pennsylvania Match 6 Lotto, winning the jackpot requires you select six different numbers from 1 to 49. The winning numbers may be drawn in any order. Find the probability of winning if one ticket is purchased. P(winning) = _________________________________