(i)Calculate the average number of tossing required. [S]

(ii)Does this function take minima when p=q=1/2.

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## Thursday, December 14, 2006

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A probability problem [S]

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**Simple math problems for recreation and research**

"And yet the relation appears,
A small relation expanding like the shade
of a cloud on the sand,a shape on side of the hill"
-Wallace Stevens,'Connoisseur of Chaos'

You shall find a [S] at the end of a post if solution can be found at one of its comments.Feel free to comment.

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Let there be a biased coin with probability 'p' of getting head and probability 'q' of getting tail.We keep tossing the coins till we get first tail(head) after a series of non zero heads(tails).

(i)Calculate the average number of tossing required. [S]

(ii)Does this function take minima when p=q=1/2.~~[S]~~

(i)Calculate the average number of tossing required. [S]

(ii)Does this function take minima when p=q=1/2.

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probability

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