Armed with newfound knowledge of probability and statistics, you go to a casino with your friend to earn some riches. You and your friend take turns playing the slots machine (with you starting first). Every time you play, you have a probability p of winning (thanks to your digilent effort in studying for MSIN0022, which has somehow affected your luck). Your friend, however, has probability q of winning. Hint: For the following questions, you do not need to find numerical values of p and q in your solutions. (a) [10 points] What is the probability that you are the first to win at the slots machine? (b) [10 points] What should the values of p and q be so that you each have a 50% chance of winning at the slots machine first?