1) Grab Bag: A BIG Bag of candy is left out in front of a house, it can be divid

Question

1) Grab Bag: A BIG Bag of candy is left out in front of a house, it can be divided into the following groupings; chocolate, hard-candy, soft-chewy, and novelty candy with the following proportions 40%, 30% 20% and 10% respectively. If you grab a hand full of candy from the Grab Bag find the probability of randomly grabbing two pieces of each type. 2) Trick or Treating: You notice a trend in your Halloween Trick or Treating, on average you get 5 pieces of candy per 3 houses. If this rate continues to hold true, find the following probabilities after you go to the next 30 houses: a) At most 40 pieces b) At least 35 pieces c) 45 or more pieces

Explanation / Answer

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1) 0.4, 0.3, 0.2, 0.1

So,

P = 0.4^2 + 0.3^2 * 0.2^2 + 0.1^2

P(two of each type) = 0.3

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