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Question Number 147413 by pete last updated on 20/Jul/21

$$$$$$\mathrm{An}\mathrm{experiment}\mathrm{consist}\mathrm{of}\mathrm{flipping}\mathrm{a}$$$$\mathrm{coin}\mathrm{and}\mathrm{then}\mathrm{flipping}\mathrm{it}\mathrm{a}\mathrm{second}\mathrm{time}$$$$\mathrm{if}\mathrm{a}\mathrm{head}\mathrm{occurs}.\mathrm{If}\mathrm{a}\mathrm{tail}\mathrm{appears}\mathrm{on}\mathrm{thei}$$$$\mathrm{first}\mathrm{flip}\mathrm{then}\mathrm{a}\mathrm{die}\mathrm{is}\mathrm{tossed}\mathrm{once}.$$$$\mathrm{a}.\mathrm{Listthe}\mathrm{element}\mathrm{of}\mathrm{the}\mathrm{sample}\mathrm{space}\mathrm{S}.\mathrm{b}$$$$\mathrm{b}.\mathrm{List}\mathrm{the}\mathrm{element}\mathrm{of}\mathrm{S}\mathrm{corresponding}$$$$\mathrm{to}\mathrm{the}\mathrm{event}\mathrm{A}\mathrm{that}\mathrm{a}\mathrm{number}\mathrm{less}\mathrm{than}$$$$4\mathrm{occurred}\mathrm{on}\mathrm{the}\mathrm{die}.$$$$\mathrm{c}.\mathrm{List}\mathrm{thet}\mathrm{element}\mathrm{of}\mathrm{S}\mathrm{corresponding}\mathrm{to}\mathrm{the}$$$$\mathrm{event}\mathrm{B}\mathrm{that}2\mathrm{tails}\mathrm{occurred}.$$

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