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A coin is tossed successively until, for the 1st time, a head occurs. The expected number of tosses required is?

 

 

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Concept used- Geometric distribution.

Let 'p' be the probability of getting a head on one toss=1/2 and 'X' be the number of tosses to get the first head.

The expected number of tosses to get the first head is $$
E(X)= \frac {1}{p}
$$

So, $$
E(X)= \frac {1}{1/2}= 2
$$

This means, on average, 2 tosses are needed to get the first head.

Posted by

Saniya Khatri

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