A man wins a rupee for head and loses a rupee for tail when coin is tossed. Suppose that he tosses once and quits if he wins but tries once more if he loses on the first toss. Find the probability distribution of the number of rupees the man wins.

Explanation

Let` X `be the number of rupees the man wins.

First, let us assume that he gets head in the first toss.

Probability would be` frac{1}{2}`. Also, he wins` {Re} .1.`

The second possibility is that he gets a tail in the first toss.

Then he tosses again .

Suppose he gets ahead in the second toss.

Then, he wins `{Re} 1` in the second toss but loses` {Re} 1` in the first toss.

So, the money won` = Rs. 0`

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