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Homework 3 - the tenth draw 4(2 points A box contains 18...

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550.420 Introduction to Probability Fall 2011 Homework 3 Due Thursday September 22 1. (2 points) Clint Westwood has collected six old guns. The probability of hitting the bull’s-eye on a target when these guns are properly aimed and fired is 0.6, 0.5, 0.7, 0.9, 0.7, and 0.8, respectively. What is the probability of hitting the bull’s-eye on a target if a gun is selected at random, properly aimed, and fired? 2. (2 points) Suppose that cards are drawn at random from a standard deck of 52 playing cards, one by one and without replacement. What is the probability that no heart is drawn before the ace of spades? 3. ( 2 points) From a standard deck of 52 playing cards, cards are drawn one by one, at random and without replacement. What is the probability that the fourth heart is drawn on
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Unformatted text preview: the tenth draw? 4. (2 points) A box contains 18 tennis balls, of which 8 are new. Suppose that three balls are selected randomly, played with, and after play they are returned to the box. If another three balls are selected for play a second time, what is the probability that they are all new? 5 . (2 points) Mustang Sally has two stables on her ranch, one that houses 20 horses and 13 mules, the other with 25 horses and 8 mules. Without any pattern, animals occasionally leave their stables and then return to their stables. Suppose that during a period when all the animals are in their stables, a horse comes out of a stable and then returns. What is the probability that the next animal coming out of the same stable will also be a horse? ....
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