(3) A box contains two black balls (B) and one White balls (W). Randomly draw a ball and replace it by a ball of opposite color. Assume all balls in the box have an equal chance to be drawn each time. The game stops as soon as all halls in the box have the same color. Let X be the number of draws needed to stop the game. Check \"true\" or \"false\" in each of Parts (a): (b)! (c), (d)- (a) There is a positive probability that the game will never stop. true ; false (b) P(X = 2) = 4f9. true ; false (c) P(X Z 3) = 4f9. true '. false