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

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

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

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