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

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

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

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