An unbiased coin is tossed 5 times.

Question:

An unbiased coin is tossed 5 times. Suppose that a variable $\mathrm{X}$ is assigned the value $k$ when $k$ consecutive heads are obtained for $\mathrm{k}=3,4,5$ otherwise $X$ takes the value $-1$. Then the expected value of $X$, is :

  1. $\frac{3}{16}$

  2. $-\frac{3}{16}$

  3. $\frac{1}{8}$

  4. $-\frac{1}{8}$


Correct Option: , 3

Solution:

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