document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=609521>Question 609521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi...I do my best in this Q and Try ..My email is toon_chy@yahoo.com.\r<BR>\n" );
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document.write( "A package of Smarties contains 8 red, 7 yellow, 5 green, 3 orange, and 2 brown goodies. A<BR>\n" );
document.write( "little boy eats 7 of them at random. What is the probability that:<BR>\n" );
document.write( "a. 3 are red<BR>\n" );
document.write( "b. 3 are red, and 2 are yellow<BR>\n" );
document.write( "c. At least 1 is orange<BR>\n" );
document.write( "d. At least 1 is orange and 1 is brown\r<BR>\n" );
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document.write( "My answer..<BR>\n" );
document.write( "a-if B (is the probability of 3 red)<BR>\n" );
document.write( "P(B)=P(B/A)=3/7=O.4\r<BR>\n" );
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document.write( "b-if B (is the probability of 3 red)and C  (is the probability of 2yellow)<BR>\n" );
document.write( "P(B and C)=p(B).P(C)<BR>\n" );
document.write( "P(B)=3/8=0.37  P(C)=2/7=0.28<BR>\n" );
document.write( "P(B and C)=0.37*0.28=0.103<BR>\n" );
document.write( ":.P(A and B and C)=p(A).P(B and C/P(A))=0.103\r<BR>\n" );
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document.write( "c- we used conditional and B is at lest 1 orange, P(A/B)=P(A and B)/P(B).<BR>\n" );
document.write( "p(A and B)=P(A).P(B/A)= 0.28.((1/30)/0.28)=0.33<BR>\n" );
document.write( ";. P(A/B)=0.33/(1/3)=0.1\r<BR>\n" );
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document.write( "d- I lost here \r<BR>\n" );
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document.write( "thx ...<BR>\n" );
document.write( " </SPAN>\n" );
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document.write( "Hi<BR>\n" );
document.write( "A package of Smarties contains 8 red, 7 yellow, 5 green, 3 orange, and 2 brown goodies<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2825%29 ALIGN=MIDDLE  ALT=\"highlight%2825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >total... little boy eats 7 of them at random. <BR>\n" );
document.write( " a. P(3 are red)= 8C3 *17C4 / 25C7 = 56*2380/480700<BR>\n" );
document.write( " b. 3 are red, and 2 are yellow =8C3* 7C2 *15C2 / 25C7<BR>\n" );
document.write( " c. At least 1 is orange = 1-P(no orange) = 1-22C7/ 25C7 = 1 - 170544/480700<BR>\n" );
document.write( " d. At least 1 is orange and 1 is brown =1-P(no orange or brown)) =1-20C7/25C7=1-77520/480700<BR>\n" );
document.write( "Highly recommend using stattrek.com for Combinations Numbers, etc </SPAN>\n" );
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