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Si A y B son dos sucesos tales que: <div><br /></div> <div><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable columnalign=¨left¨ rowspacing=¨0¨»«mtr»«mtd»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»]«/mo»«mo»=«/mo»«mi»#a«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»P«/mi»«mo»[«/mo»«mi»B«/mi»«mo»]«/mo»«mo»=«/mo»«mi»#b«/mi»«/mtd»«/mtr»«mtr»«mtd»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»§#8745;«/mo»«mi»B«/mi»«mo»]«/mo»«mo»=«/mo»«mi»#in«/mi»«/mtd»«/mtr»«/mtable»«/math»</span><br /></div> <div>Calcula <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»[«/mo»«mover»«mi»A«/mi»«mo»¯«/mo»«/mover»«mo»§#8745;«/mo»«mover»«mi»B«/mi»«mo»¯«/mo»«/mover»«mo»]«/mo»«/math»</span></div>
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<div><hr style="text-align: center;" /></div> <blockquote style="margin: 0px 0px 0px 40px; border-style: none; padding: 0px; background-color: rgb(255, 255, 51);"><b><u>SOLUCIÓN:</u></b></blockquote> <blockquote style="margin: 0px 0px 0px 40px; border-style: none; padding: 0px;"> <div> <div> <div><b><u><br /></u></b></div></div></div> <div> <div>El problema se resuelve de la siguiente manera:</div></div></blockquote> <blockquote style="margin: 0px 0px 0px 40px; border-style: none; padding: 0px;"> <div><span><span><br /></span></span></div> <div><span><span>Aplicamos las leyes de Morgan: </span></span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»[«/mo»«mover»«mi»A«/mi»«mo»¯«/mo»«/mover»«mo»§#8745;«/mo»«mover»«mi»B«/mi»«mo»¯«/mo»«/mover»«mo»]«/mo»«mo»=«/mo»«mi»P«/mi»«mo»[«/mo»«mover»«mrow»«mi»A«/mi»«mo»§#8746;«/mo»«mi»B«/mi»«/mrow»«mo»¯«/mo»«/mover»«mo»]«/mo»«/math»</span></div></blockquote> <blockquote style="margin: 0px 0px 0px 40px; border-style: none; padding: 0px;"> <div><span style="background-color: rgb(255, 255, 255);"><span>Aplicamos la relación de la probabilidad de sucesos opuestos: </span></span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»[«/mo»«mover»«mrow»«mi»A«/mi»«mo»§#8746;«/mo»«mi»B«/mi»«/mrow»«mo»¯«/mo»«/mover»«mo»]«/mo»«mo»=«/mo»«mn»1«/mn»«mo»-«/mo»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»§#8746;«/mo»«mi»B«/mi»«mo»]«/mo»«/math»</span></div></blockquote> <blockquote style="margin: 0px 0px 0px 40px; border-style: none; padding: 0px;"> <div><span style="background-color: rgb(255, 255, 255);"><span>Expresamos la probabilidad de la unión: </span></span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»§#8746;«/mo»«mi»B«/mi»«mo»]«/mo»«mo»=«/mo»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»]«/mo»«mo»+«/mo»«mi»P«/mi»«mo»[«/mo»«mi»B«/mi»«mo»]«/mo»«mo»-«/mo»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»§#8745;«/mo»«mi»B«/mi»«mo»]«/mo»«/math»</span></div></blockquote> <blockquote style="margin: 0px 0px 0px 40px; border-style: none; padding: 0px;"> <div><span style="background-color: rgb(255, 255, 255);">Combinamos las anteriores expresiones y obtenemos: </span></div></blockquote> <blockquote style="margin: 0px 0px 0px 40px; border-style: none; padding: 0px;"> <div style="text-align: center;"><span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»[«/mo»«mover»«mi»A«/mi»«mo»¯«/mo»«/mover»«mo»§#8745;«/mo»«mover»«mi»B«/mi»«mo»¯«/mo»«/mover»«mo»]«/mo»«mo»=«/mo»«mn»1«/mn»«mo»-«/mo»«mfenced»«mrow»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»]«/mo»«mo»+«/mo»«mi»P«/mi»«mo»[«/mo»«mi»B«/mi»«mo»]«/mo»«mo»-«/mo»«mi»P«/mi»«mo»[«/mo»«mi»A«/mi»«mo»§#8745;«/mo»«mi»B«/mi»«mo»]«/mo»«/mrow»«/mfenced»«mo»=«/mo»«mn»1«/mn»«mo»-«/mo»«mo»(«/mo»«mi»#a«/mi»«mo»+«/mo»«mi»#b«/mi»«mo»-«/mo»«mi»#in«/mi»«mo»)«/mo»«mo»=«/mo»«mi»#sol«/mi»«/math»</span></span></div></blockquote> <div style="text-align: center;"><hr /></div>
No, case is unimportant
Yes, case must match
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Answer 1
Answer
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None
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90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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Answer 2
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
Feedback
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100%
50%
33.33333%
25%
20%
10%
0%
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Monday, 12 August 2013, 9:04 AM
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