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Question 1) Suppose that you have a bag of plastic shapes of different colors. Suppose in the bag you have: 12 Blue Shapes (7 Circles,

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Question 1) Suppose that you have a bag of plastic shapes of different colors. Suppose in the bag you have: 12 Blue Shapes (7 Circles, 5 Triangles) 9 Red Shapes (2 Circles, 2 Triangles, 5 Rectangles) 8 Green Shapes (1 Circle, 5 Triangles, 2 Rectangles) 10 Yellow Shapes (5 Circles, 2 Triangle, 3 Rectangles) You are going to randomly select 2 shapes from this bag. (a) P(1st selection is Red) (b) P(1st selection is a Triangle) (c) P(Ist selection is Yellow AND a Circle) (d) P(1st selection is Blue OR a Triangle) (e) P(1st selection is Green OR Yellow) (f) P(Ist selection is Blue AND a Rectangle) (g) P(1st selection is a Triangle | 1st selection is Green) (h) P(1st selection is Yellow | Ist selection is a Circle) (i) P(2nd selection is a Rectangle | Ist selection is a Rectangle) (j) P(2nd selection is Red | Ist selection is Green) Question 2) Suppose that you have a bag full of candy ready for Halloween There are 70 candies in the bag. Inside the bag you have: 30 Snickers 21 Milky Ways 14 Twix 5 Mars Bars (which are super rare!). You reach into the bag and randomly pull out 6 candies. Calculate each of the following prob- abilities. Make sure to write your answer as a decimal. (a) The probability that all the candies are Snickers. (b) The probability that you do not get any Milky Ways. (c) The probability that you get exactly 2 Twix. (d) The probability that all the candies are Mars Bars. (e) The probability that you get 3 Snickers, 2 Twix, and 1 Mars Bar. EXTRA CREDIT QUESTION: Look back at Question 2. What is the probability that you get exactly 2 Twix given that the first two candies you select are Snickers

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