document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=938671>Question 938671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A real estate agent has 8 master keys to open several new homes. only 1 master key will open any given house. if 40% of these homes are usually left unlocked, what is the probability that the real estate agent can get into a specific home if the agent selects 3 master keys at random before leaving the office? </SPAN>\n" );
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document.write( "Given: <BR>\n" );
document.write( "- 8 master keys, only one can open each home.<BR>\n" );
document.write( "- 40% of the homes are unlocked.<BR>\n" );
document.write( "- agent took 3 of the 8 master keys with him<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "Since 40% of the homes are unlocked, only 60% of the homes need a master key, of which there is a probability of 3/8 of opening by the master keys.\r<BR>\n" );
document.write( "\n" );
document.write( "Overall probability<BR>\n" );
document.write( "P(opening door) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.40+%2B+0.60%283%2F8%29 ALIGN=MIDDLE  ALT=\"0.40+%2B+0.60%283%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.40 + 0.225 = 0.625 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Answer: there is a probability of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F8 ALIGN=MIDDLE  ALT=\"5%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > that the agent can get in a specific home </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );