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10-06-2013, 11:11 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,477
Re: *ANSWER* checking the answer of Q1

Quote:
 Originally Posted by eychen Dear all, For Q1, I got nu_min around 0.375. Therefore, [d] would be the closet answer. I feel the answer is reasonable, for the following consideration: 1. The probablity of getting no head outcomes in 10 trails is 1/1024. 2. For 1000 ten-times-thrown coins, the probability of getting no one with head count = 0 is [(1024-1)/1024]^1000 = 0.375. 3. In most cases, when there is no one with head count =0, the lowest head count is most likely to be 1. 4. Therefore, the expectation value of nu_min will be approximately 0*0.625 + 1*0.375 = 0.375. Am I doing anything wrong? Or I misunderstood the question?
Your reasoning is both nice and correct, and the problem is just technical that when you have 1 head, the corresponding is in fact 0.1, not 1.
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