Vanessa has 16 songs on a Classic Rock CD. Six of the songs are by the Beatles, 4 are by the Rolling Stones, 4 are by the Who, a
nd 2 are by the Doors. Vanessa plays the CD. She selects a setting that randomly chooses songs to play. Find the probability of each event:
a) The first 3 songs played are by the Beatles.
b) The first 2 songs played are by the Rolling Stones and the next 2 songs are by the Beatles.
c) The first 2 songs played are by the Doors, and the next song played is either by the Beatles or the Rolling Stones.
We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates: FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3 x + 3 = (2/3)(6) x = 1 For the y-coordinates: FG/FH = (y - 2) / (7 - 2) = 2/3 y - 2 = (2/3)(5) y = 16/3 Therefore the coordinates of G are (1, 16/3).