document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159829>Question 1159829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a shuffled standard deck of cards, 8 cards are dealt to a player. Let<BR>\n" );
document.write( "A= event that exactly 3 cards are red<BR>\n" );
document.write( "B= event that exactly 3 cards are face cards (K, Q, J)<BR>\n" );
document.write( "C= event that exactly 5 cards are spades<BR>\n" );
document.write( "Determine the following probabilities:<BR>\n" );
document.write( "a. P(A)<BR>\n" );
document.write( "b. P(B)<BR>\n" );
document.write( "c. P(C)<BR>\n" );
document.write( "d. P(AB) (Hint: Express the events as a union of mutually exclusive events, each event<BR>\n" );
document.write( "describing how many red face cards, black face cards, red non-face cards, black nonface cards)<BR>\n" );
document.write( "e. P(AC)<BR>\n" );
document.write( "f. P(BC)<BR>\n" );
document.write( "g. P(ABC)<BR>\n" );
document.write( "h. P(A∪B∪C) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783533 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <i><b>a. P(A)</i></b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826C3+%2A+26C5%29%2F%2852C8%29 ALIGN=MIDDLE  ALT=\"%2826C3+%2A+26C5%29%2F%2852C8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2826%21%2F%283%21%2A23%21%29%29+%2A+%2826%21%2F%285%21%2A21%21%29%29%29%2F%28%2852%21%2F%288%21%2A44%21%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11440%2F50337 ALIGN=MIDDLE  ALT=\"11440%2F50337\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <b>0.2273</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<i><b>b. P(B)</i></b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812C3+%2A+40C5%29%2F%2852C8%29 ALIGN=MIDDLE  ALT=\"%2812C3+%2A+40C5%29%2F%2852C8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2812%21%2F%283%21%2A9%21%29%29+%2A+%2840%21%2F%285%21%2A35%21%29%29%29%2F%28%2852%21%2F%288%21%2A44%21%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=123728%2F643195 ALIGN=MIDDLE  ALT=\"123728%2F643195\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <b>0.1924</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<i><b>c. P(C)</i></b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2813C5+%2A+39C3%29%2F%2852C8%29 ALIGN=MIDDLE  ALT=\"%2813C5+%2A+39C3%29%2F%2852C8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2813%21%2F%285%21%2A8%21%29%29+%2A+%2839%21%2F%283%21%2A36%21%29%29%29%2F%28%2852%21%2F%288%21%2A44%21%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100529%2F6431950 ALIGN=MIDDLE  ALT=\"100529%2F6431950\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <b>0.0156</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<i><b>d. P(AB)</i></b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286C3+%2A+20C5%29+%2B+%286C2+%2A+20C1+%2A+6C1+%2A+20C4%29+%2B+%286C1+%2A+20C2+%2A+6C2+%2A+20C3%29+%2B+%2820C3+%2A+6C3+%2A+20C2%29%29%2F%2852C8%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286%21%2F%283%21%2A3%21%29%29+%2A+%2820%21%2F%285%21%2A15%21%29%29+%2B+%286%21%2F%282%21%2A4%21%29%29+%2A+%2820%21%2F%281%21%2A19%21%29%29+%2A+%286%21%2F%281%21%2A5%21%29%29+%2A+%2820%21%2F%284%21%2A16%21%29%29+%2B+%286%21%2F%281%21%2A5%21%29%29+%2A+%2820%21%2F%282%21%2A18%21%29%29+%2A+%286%21%2F%282%21%2A4%21%29%29+%2A+%2820%21%2F%283%21%2A17%21%29%29+%2B+%2820%21%2F%283%21%2A17%21%29%29+%2A+%286%21%2F%283%21%2A3%21%29%29+%2A+%2820%21%2F%282%21%2A18%21%29%29%29%2F%28%2852%21%2F%288%21%2A44%21%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28310080+%2B+8721000+%2B+19494000+%2B+4332000%29%2F752538150 ALIGN=MIDDLE  ALT=\"%28310080+%2B+8721000+%2B+19494000+%2B+4332000%29%2F752538150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32857080%2F752538150 ALIGN=MIDDLE  ALT=\"32857080%2F752538150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1095236%2F25084605 ALIGN=MIDDLE  ALT=\"1095236%2F25084605\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <b>0.0437</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<i><b>e. P(AC)</i></b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2826C3+%2A+13C5%29%2F%2852C8%29 ALIGN=MIDDLE  ALT=\"%2826C3+%2A+13C5%29%2F%2852C8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2826%21%2F%283%21%2A23%21%29%29+%2A+%2813%21%2F%285%21%2A8%21%29%29%29%2F%28%2852%21%2F%288%21%2A44%21%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=572%2F128639 ALIGN=MIDDLE  ALT=\"572%2F128639\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <b>0.0044</b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<i><b>f. P(BC)</i></b><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283C3+%2A+10C2+%2A+30C3%29+%2B+%283C2+%2A+10C3+%2A+9C1+%2A+30C2%29+%2B+%283C1+%2A+10C4+%2A+9C2+%2A+30C1%29+%2B+%2810C5+%2A+9C3%29%29%2F%2852C8%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%21%2F%283%21%2A0%21%29%29+%2A+%2810%21%2F%282%21%2A8%21%29%29+%2A+%2830%21%2F%283%21%2A27%21%29%29+%2B+%283%21%2F%282%21%2A1%21%29%29+%2A+%2810%21%2F%283%21%2A7%21%29%29+%2A+%289%21%2F%281%21%2A8%21%29%29+%2A+%2830%21%2F%282%21%2A28%21%29%29+%2B+%283%21%2F%281%21%2A2%21%29%29+%2A+%2810%21%2F%284%21%2A6%21%29%29+%2A+%289%21%2F%282%21%2A7%21%29%29+%2A+%2830%21%2F%281%21%2A29%21%29%29+%2B+%2810%21%2F%285%21%2A5%21%29%29+%2A+%289%21%2F%283%21%2A6%21%29%29%29%2F%28%2852%21%2F%288%21%2A44%21%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28182700+%2B+1409400+%2B+680400+%2B+21168%29%2F752538150 ALIGN=MIDDLE  ALT=\"%28182700+%2B+1409400+%2B+680400+%2B+21168%29%2F752538150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2293668%2F752538150 ALIGN=MIDDLE  ALT=\"2293668%2F752538150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9802%2F3215975 ALIGN=MIDDLE  ALT=\"9802%2F3215975\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "= <b>0.0030</b> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );