4. An instant lottery game gives you probability 0.02 of winning on any one play. Plays are independent of each other. (a) Draw and label a tree diagram for all the possible outcomes of playing the game four times. Properly label the probabilities on each branch and show any necessary calculations. (b) Determine and state the probability model for playing the game four times. Show your calculations. You may get some very small numbers, but avoid rounding. Hint: Use the tree diagram as a guide. (c) If you play four times, what is the probability that you win at least once? Round to 3 decimal places.