In 47-60, find the center, transverse axis, vertices, foci, and asymptotes. Graph each equation. l - 4x2 - 4y - 8x - 4 = 0

8.1 Probability Probability is the study of random outcomes Example: toss a coin. Cannot predict if the next toss is heads or tails, but over many tosses about half will be heads and half will be tails. Individual outcome: are not predictable but can predict a long-term pattern over many repeats. Example: toss fair 6-sided die. Cannot predict what the next toss gives, but over many repeats you’ll expect 1 out of 6 tosses you’ll get one. Probability of a random outcome is the percentage of times that you get a particular outcome over many repeats. Example: tosses a coin: probability of the coin landing on heads P(heads) = ½= 50% Example: tosses a 6-sided die: probability of getting a 3 P (3) = 1/6 Sample space: the complete set of all possible outcomes in the giving situation. Ex