Suppose that whenever Enrico and Cliff play chess, odds are 2:1 in favour of Enrico winning a game. Suppose a 3-game match is arranged. a)Create a tree diagram that illustrates all the possible outcomes for the match.
b)Determine the probability of each outcome.
c) Add the probabilities determined in part b). Does this total make sense? Explain.
d)What is the probability that Enrico will not win all three games?
e) What is the probability that Cliff will win exactly two games?
f) What are the odds against either player winning all three games

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.