document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013462>Question 1013462</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,<BR>\n" );
document.write( "I am studying for a probability test and at this rate I probably will not do well (ha).\r<BR>\n" );
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document.write( "I have copied down a few problems with the answers. It would help me a lot if  someone could explain how to set up the problem.\r<BR>\n" );
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document.write( "Thank you.\r<BR>\n" );
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document.write( "question 1:<BR>\n" );
document.write( "3/5 of workers in a factory are men, 2/5 are women. 40% of the men and 60% of the women do not smoke. You randomly choose a worker. What is the probability that the chosen worker does not smoke?<BR>\n" );
document.write( "( Answer: 12 / 25 )\r<BR>\n" );
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document.write( "question 2:<BR>\n" );
document.write( "There are 2 jars. In one jar there are 7 black balls and 3 blue balls. In the second jar There are 9 black balls and 6 blue balls. You throw a cube. If you get the number 5 or 6, you choose randomly a ball from the first jar. If you get any other number, you choose randomly from the second jar. What is the probability that you will choose a blue ball from the first jar? What is the probability that you will choose a blue ball?<BR>\n" );
document.write( "(Answer 1/10  11/30)\r<BR>\n" );
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document.write( "Question 3:<BR>\n" );
document.write( "2 people throw a ball at the same time. One of them hits the target 55 out of 100 times, and the other one hits it 95 out of 100 times.<BR>\n" );
document.write( "What is the probability that exactly one of the throws Will hit the target?<BR>\n" );
document.write( "(answer: 91 / 200 )\r<BR>\n" );
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document.write( "What is the probability that at least one of the throws will hit the target?<BR>\n" );
document.write( "(answer: 391 / 400 )<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629735 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Number of non-smokers are (3/5)(2/5) for men =6/25<BR>\n" );
document.write( "and (2/5)(3/5) for women=6/25.  They add to 12/25/<BR>\n" );
document.write( "2.(1/3) chance of a 5 or 6 *(3/10)=(1/10)<BR>\n" );
document.write( "The probability of choosing a blue ball from the second is (2/3)(6/15)=4/15<BR>\n" );
document.write( "You add both of those, which is (3/30)+(8/30), and that is (11/30), once I use the same denominators.<BR>\n" );
document.write( "3.  exactly one throw is is (.55*.05)=0.0275.  That is the first alone.  The second alone is 0.45*0.95=0.4275.  They add to 0.4550, which is 45.5%=91/200.<BR>\n" );
document.write( "probability of at least 1 is 1- probability both don't.<BR>\n" );
document.write( "They are independent, so probability of both missing is 0.45*0.05=0.0225<BR>\n" );
document.write( "1-0.0225=0.9775, and that is 391/400. </SPAN>\n" );
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