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