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Question Number 144584 by zakirullah last updated on 26/Jun/21

$$\mathrm{b}.\mathrm{An}\mathrm{experiment}\mathrm{consists}\mathrm{of}\mathrm{flipping}\mathrm{an}\mathrm{unbiased}\mathrm{coin}$$$$\mathrm{and}\mathrm{flipping}\mathrm{again}\mathrm{if}\mathrm{a}\mathrm{head}\mathrm{occuors}\mathrm{and}\mathrm{yet}$$$$\mathrm{again}\mathrm{if}\mathrm{a}\mathrm{second}\mathrm{bead}\mathrm{occours},\mathrm{list}\mathrm{the}\mathrm{elements}$$$$\mathrm{of}\mathrm{the}\mathrm{sample}\mathrm{space}.\mathrm{find}\mathrm{the}\mathrm{probability}$$$$\mathrm{of}\mathrm{exactly}\mathrm{two}\mathrm{tosses}.$$$$\mathrm{c}.\mathrm{if}\mathrm{then}\mathrm{prove}\mathrm{that}\mathrm{probability}\mathrm{that}\mathrm{X}\mathrm{occours}\mathrm{but}$$$$\mathrm{not}\mathrm{Y}=\mathrm{probability}\mathrm{that}\mathrm{X}\mathrm{occours}-\mathrm{probabulity}\mathrm{that}\mathrm{Y}\mathrm{occours}$$$$\mathrm{CLO}-1.$$$$$$$$$$$$$$

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