Question

# A fair coin is tossed four times and a person win Re for each head and lose Rs. for each tail that turns up. Let be the probability of person losing Rs after tosses.Find ?

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## Solution

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## Number of elements in sample space S is Since, the coin is tossed four times there can be a maximum of heads . When heads turns up, is the gain. When heads and tail turn up, is the gain. When heads and tails turns up, , i.e., Re  is the loss. When head and tails turn up,, i.e., Rs is the loss. When tails turn up, i.e., Rs is the loss. The person wins Rs when heads turn up i.e., when the event occurs. Probability (of winning Rs )=  The person wins Rs when heads and one tail turn up i.e., when the event occurs Probability (of winning Rs ) =  The person loses Re when heads and tails turn up i.e., when the event occurs Probability (of losing Re 1.00) =  The person loses Rs when head and tails turn up i.e., when the event occurs Probability (of losing Rs ) =  The person loses Rs when tails turn up i.e., when the event occurs Probability (of losing Rs ) =

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