Question 1 (10 points) Nes is having a meeting with that ominous guy with the sunglasses for something. dunno I've never actually seen the Matrix) who is planning on offering him some pills her homemakingit to : fame became abeauraud There indude 12 blue pills to keep him satisfied in his reality. 7 red pills to wake him up to true reality, 2 yellow pills which give him a lightsaber, 4 pink pills to turn into a Barbie doll but also gives the user a lightsaber, and 10 purple pills to party. Unfortunately that guy with the sunglasses got them mixed up in a ziploc bag and since he's blind (??) Nce is left to sift through the bag and take whatever he wants. Match the probabilities of taking certain pills with the situations they describe What's the probability of selecting a purple pills What's the probability he'll take a pink pill OR end up with a lightsaber? If he changes his mind halfway through, what's the probability of han taking a blue pill- putting it back and then taking : red pill? If Neo is super indecisive and puts back the first two pills before finally deciding, what's the probability of him taking a blue pill, changing his mind and randomly taking a yellow pill. before changing his mind again 0.2381 and randomly taking a purple pill? 0.4524 If he consumes every pill 3. 0.3095 he withdraws, what's the probability of him taking 0.2143 either a blue pill or a red pill, and then, this is 0.0476 followed by a yellow pill? If he consumes every pill 0.0105 he withdraws, what's the probability of taking a 0.0993 purple pill, followed by a yellow pill, then followed 8. 0.0157 by a blue pill? What's the probability of 9. 0.0146 selecting a blue pill OR a red pill? 10 0.0941 If Neo takes 3 pills overall, In any order, what's the probability of him taking a blue pill, yellow pill, and purple Note this is by for the hardest question of the For so think carefully If he consumes every pill he withdraws, what's the probability of him taking 3 purple pills in a row? talways party responsibly and don't be like Ness what's the probability of Neo winding up with a lightsabers