document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854669>Question 854669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose that all possible card selections are equally likely, what probability should be assigned to each selection?<BR>\n" );
document.write( "Find the probability that you choose a face card.(j,q,k,a)<BR>\n" );
document.write( "Find the probability that you choose a black card, spade or club.<BR>\n" );
document.write( "consider the events\" draw a face card and draw a 5 or smaller'. Are these events overlapping or disjoint? explain<BR>\n" );
document.write( "Find the probability of drawing a red card or a spade. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514816 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514816\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 52 cards in the deck.\r<BR>\n" );
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document.write( "face card is any card with a face on it.<BR>\n" );
document.write( "that would be jack, queen, king.<BR>\n" );
document.write( "ace is not considered a face card.<BR>\n" );
document.write( "there are 4 jacks, 4 queens, 4 kings in the deck for a total of 12.<BR>\n" );
document.write( "probability of getting a face card is 12 / 52 which is equivalent to 3 / 13.\r<BR>\n" );
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document.write( "there are 26 black cards in the deck (spades and clubs) and 26 red cards in the deck (hearts and diamonds).<BR>\n" );
document.write( "the probability of getting a black card only is therefore equal to 26/52 = 1/2.<BR>\n" );
document.write( "since a spade or a club are both black cards, the probability remains the same.<BR>\n" );
document.write( "this is the probability of A or B or C.<BR>\n" );
document.write( "A is the probability of getting a black card.<BR>\n" );
document.write( "B is the probability of getting a spade.<BR>\n" );
document.write( "C is the probability of getting a club.\r<BR>\n" );
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document.write( "the formula for the probability of (A or B or C) is equal to the p(A) + p(B) + p(C) - p(AB) - p(AC) - p(BC) + p(ABC).\r<BR>\n" );
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document.write( "p(A) = 26/52<BR>\n" );
document.write( "p(B) = 13/52<BR>\n" );
document.write( "p(C) = 13/52<BR>\n" );
document.write( "p(AB) = 13/52<BR>\n" );
document.write( "p(AC) = 13/52<BR>\n" );
document.write( "p(BC) = 0<BR>\n" );
document.write( "p(ABC) = 0\r<BR>\n" );
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document.write( "put those numbers in the formula and you get 26/52 as the answer.<BR>\n" );
document.write( "p(AB) is 13/52 because there are 13 spades in the deck and they are all black.<BR>\n" );
document.write( "p(AC) is 13/52 because there are 13 clubs in the deck and they are all black.<BR>\n" );
document.write( "p(BC) is 0 because the same card can't be a spade and a club at the same time.<BR>\n" );
document.write( "p(ABC) = 0 because the saem card can't be a spade and a club and a black card at the same time.\r<BR>\n" );
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document.write( "the event of drawing a face card and drawing a 5 or smaller are disjoint event.<BR>\n" );
document.write( "this is because you can't draw a face card and a 5 or smaller at the same time.<BR>\n" );
document.write( "this is because none of the number cards are face cards and so there is no overlap.\r<BR>\n" );
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document.write( "an example of an overlap would be drawing a spade and drawing a 5 or smaller.  in this case, there are overlapping events because a 5 or smaller could also be a spade.\r<BR>\n" );
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document.write( "the probability of drawing a red card or a spade is equal to 26/52 + 13/52.<BR>\n" );
document.write( "this is because red cards and spades are disjoint event.  they have nothing in common.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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