Question: [6 marks] Consider a casino game, `Quick Draw'. In this game, a player pays $10 to play. The player picksone card from a standard pack

[6 marks]Consider a casino game, `Quick Draw'. In this game, a player pays $10 to play. The player picksone card from a standard pack of 52 cards (i.e. there are four A's and four K's in a standard pack of 52cards).IftheplayergetsanAce,theywin$55(i.e.theprofitis$45);iftheplayerselectsaKing,theywin

$35(i.e.theprofitis$25).Otherwise,theplayerwinsnothingandalsolosesthebetof$10.LettherandomvariableXrepresenttheplayer'sprofitonasingleplay of'QuickDraw'.

[3marks]Construct theprobabilitydistributionfor therandomvariableX.

ks]CalculatetheexpectedvalueoftherandomvariableXandprovideaninterpretationofitsvalue,incontextofthisquestion.

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