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Question Number 9904 by 215 last updated on 14/Jan/17

Let X denote the number of times heads  occur in n tosses of a fair coin. If P (X=4),  P (X=5) and P (X=6) are in AP ; the  value of n is

$$\mathrm{Let}\:{X}\:\mathrm{denote}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{times}\:\mathrm{heads} \\ $$$$\mathrm{occur}\:\mathrm{in}\:{n}\:\mathrm{tosses}\:\mathrm{of}\:\mathrm{a}\:\mathrm{fair}\:\mathrm{coin}.\:\mathrm{If}\:{P}\:\left({X}=\mathrm{4}\right), \\ $$$${P}\:\left({X}=\mathrm{5}\right)\:\mathrm{and}\:{P}\:\left({X}=\mathrm{6}\right)\:\mathrm{are}\:\mathrm{in}\:{AP}\:;\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:{n}\:\mathrm{is} \\ $$

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