Matematik
HJÆLP!!!!
30. april 2011 af
Lillozz (Slettet)
HJÆLP!!! Hvordan skal jeg regne det ud?
Om et bestemt skrabespil, som kaster 5 kr. at deltage i, oplyses følgende om gevinster og de tilhørende sandsynligheder.
En person spiller én gang.
a) Bestem sandsynligheden for ikke at få gevinst.
b) Bestem den forventede gevinst, dvs. middelværdien for gevinsten.
c) beskriv, hvad den forventede gevinst fortæller om spillet.
En person spiller 2000 gange.
d) Bestem den samlede gevinst, som spilleren kan forvente.
e) Hvilket overskud eller underskud må spilleren forvente at have på de 2000 spil?
<table class="MsoTableGrid" border="1" cellspacing="0" cellpadding="0" style="border-collapse:collapse;border:none;mso-border-alt:solid windowtext .5pt; mso-yfti-tbllook:1184;mso-padding-alt:0cm 5.4pt 0cm 5.4pt"> <td width="111" valign="top" style="width:83.4pt;border:solid windowtext 1.0pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">Gevinst i kr. <td width="52" valign="top" style="width:38.8pt;border:solid windowtext 1.0pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt: solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">5 <td width="81" valign="top" style="width:61.1pt;border:solid windowtext 1.0pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt: solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">10 <td width="81" valign="top" style="width:61.1pt;border:solid windowtext 1.0pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt: solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">15 <td width="81" valign="top" style="width:61.1pt;border:solid windowtext 1.0pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt: solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">80 <td width="81" valign="top" style="width:61.1pt;border:solid windowtext 1.0pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt: solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">250 <td width="82" valign="top" style="width:61.15pt;border:solid windowtext 1.0pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt: solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">750 <td width="82" valign="top" style="width:61.15pt;border:solid windowtext 1.0pt; border-left:none;mso-border-left-alt:solid windowtext .5pt;mso-border-alt: solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">4500 <td width="111" valign="top" style="width:83.4pt;border:solid windowtext 1.0pt; border-top:none;mso-border-top-alt:solid windowtext .5pt;mso-border-alt:solid windowtext .5pt; padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">Sandsynlighed for gevinsten <td width="52" valign="top" style="width:38.8pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">0,09 <td width="81" valign="top" style="width:61.1pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">0,07 <td width="81" valign="top" style="width:61.1pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">0,04 <td width="81" valign="top" style="width:61.1pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">0,004 <td width="81" valign="top" style="width:61.1pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">0,0025 <td width="82" valign="top" style="width:61.15pt;border-top:none;border-left: none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">0,00005 <td width="82" valign="top" style="width:61.15pt;border-top:none;border-left: none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; mso-border-top-alt:solid windowtext .5pt;mso-border-left-alt:solid windowtext .5pt; mso-border-alt:solid windowtext .5pt;padding:0cm 5.4pt 0cm 5.4pt"> <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal">0,000008
Svar #1
30. april 2011 af mette48 (Slettet)
a) Læg alle sandsynlighederne sammen og træk dem fra 1
b) summen af (gevinst*Sand. for gevinst)/som af Sand. for gevinst
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