Question

Suppose the probability that a coin toss shows “head” is p, where 0<p<1. The coin is tossed repeatedly until the first “head” appears. The expected number of tosses required is

Options :

  1. p/1-p

  2. 1-p/p

  3. 1/p

  4. 1/p2

Show Answer

Answer :

1/p

Solution :

Number of tosses
1 2 3 4 5
Probability of outcomes
p p (1-p)
p (1-p)2
p (1-p)3
p (1-p)4

∴The expected number of tosses required is,


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