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Stat447F08HW2 - a Show that the probability of red at the...

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STAT447 Fall ‘08 Homework Assignment No. 2 Due: Friday, 9/19/08 (in class) Out of text Problems : * Die A has four red and two blue faces, and die B has two red and four blue faces. The following game is played: First a coin is tossed once. If it shows heads, die A is rolled twice; if it shows tails, die B is rolled twice. Thus, regardless of the coin toss, there are two rolls of a die. Call these rolls the first and the second rolls.
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Unformatted text preview: a) Show that the probability of red at the second roll is 1/2. b) If the first roll of the die is red, what is the probability of red at the second roll? c) If it is known that red turned up twice, what is the probability that die A was used? Text Book Problems : Chapter 2----Exercise #--- 110, 112, 120 Chapter 3----Exercise #---4(a, c, d), 6, 12, 22, 28, 34, 35 Practice problems (do not need to submit) 19, 20, 24, 25, 32...
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