document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=943753>Question 943753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Probability P (A or B), P (A and B) there are M&M candies in a jar: Red (7), Blue (7) and Yellow (7).    a) probability that randomly taken one candy is blue or red: P (Blue or Red)   b) probability that out of 2 candies randomly taken from the jar first candy will be Red    and second candy will be Red again: P(Red and then Red).    Keep in mind that in case b), after you take the first candy,    there will be one less candies in the box.  \r<BR>\n" );
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document.write( "Counting Outcomes (Permutations and Combinations) For numbers 8 and 2, in how many ways can you select 2 items out of 8 if order of selection makes a difference - use Permutations b) in how many ways can you select 2 items out of 8   if order of selection doesn't matter - use Combinations.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575406 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=575406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability P (A or B), P (A and B) <BR>\n" );
document.write( "there are M&M candies in a jar: Red (7), Blue (7) and Yellow (7). <BR>\n" );
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document.write( "a) probability that randomly taken one candy is blue or red: <BR>\n" );
document.write( "P (Blue or Red) = P(blue) + P(red) = 7/21 + 7/21 = 14/21 = 2/3<BR>\n" );
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document.write( "b) probability that out of 2 candies randomly taken from the jar first candy will be Red and second candy will be Red again: <BR>\n" );
document.write( "P(Red and then Red) = P(red)*P(red|red) = (7/21)(6/20) = (1/3)(3/10) = 1/10<BR>\n" );
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document.write( " Counting Outcomes (Permutations and Combinations) For numbers 8 and 2, in how many ways can you select 2 items out of 8 if order of selection makes a difference - use Permutations<BR>\n" );
document.write( "8P2 = 8*7 = 56<BR>\n" );
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document.write( " b) in how many ways can you select 2 items out of 8 if order of selection doesn't matter - use Combinations.<BR>\n" );
document.write( "8C2 = (8*7)/(1*2) = 28<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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