Thursday, 7 August 2014
chapter-9- Worked Out Examples – 2
What is the minimum number of times that a fair coin must be tossed so that the chances of getting at least one Head are greater than
In a sequence of
tosses , the probability of obtaining a Tail on every toss is
(all tails in
because at every toss, the probability of getting a Tail is
, and also, all tosses are independent of each other.
to be greater than
Thus, a minimum of
tosses are required.
are playing a game: They throw a coin alternately until one of them gets a Head and wins. How advantageous is it in such a game to make the first throw?
makes the first throw. Let us calculate the probability of
winning the game.
denote a Head and a Tail respectively obtained by
. A similar notation follows for
will win the game in the following (mutually exclusive) sequences of tosses:
Thus, the probability of
winning the game is
This means that one who makes the first throw has twice the chance
of winning than the other
August 07, 2014
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#Transformation of Complex Functions : Mapping of Z plane in to W plane ...