Bag C contains 4 blue and 1 yellow ticket. Bag D contains 2 blue and 3 yellow tickets. An ordinary 6-sided die is used to select one of the two bags. If a 1 or 2 is rolled, bag C is chosen. Otherwise, bag D is chosen. A ticket is drawn at random from that bag. a Copy and complete the tree diagram, showing all probabilities. b Find the probability that a yellow ticket is drawn from bag D. c Find the probability of drawing a yellow ticket from either bag. d If a blue ticket is chosen, find the probability that it came from bag D. e In a gambling game, a player wins $6 for getting a blue ticket and $9 for getting a yellow one. Find the players expected return.
Review Notes for Calculus I Intercepts: X-intercept: where the graph intersects the x-axis (in the coordinates for an x-intercept, the y-value is always 0, ex: (7, 0).) o To find x-intercepts, replace y with 0. Y-Intercept: where the graph intersects the y-axis (in the coordinates for a y-intercept, the x-value is always 0, ex: (0, 8).) o To find the y-intercepts, replace x with 0. Ex: y=x -4x X-in3ercept y=x -4x 0=x -4x (Replace y with 0) 0=x(x -4) (Factor out a Greatest Common Factor between x 3 and 4x) 0=x(x-2) (x-2) (Complete the square) X=0, 2, -2 (Solve for x) Y-in3ercept y= x -4x y=0 -4(0) (Replace x’s with 0) y=0-0 (Use order of operations- exponent first, then multiply) y=0
