document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=946336>Question 946336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a bag there are 7 green, 9 black and 6 yellow marbles. In how many ways can 5 marbles be randomly selected from the bag, without replacement, if the selection shows all 5 marbles are of the same color? </SPAN>\n" );
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document.write( "Given<BR>\n" );
document.write( "A bag containing 7 green, 9 black and 6 yellow marbles for a total of 22 marbles.<BR>\n" );
document.write( "Five marbles are picked without replacement.<BR>\n" );
document.write( "Find probability of all five are of the same colour.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Solution<BR>\n" );
document.write( "Randomly picked five marbles without replacement out of 22.<BR>\n" );
document.write( "There are three possible colours.<BR>\n" );
document.write( "P(GGG) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F22%2A6%2F21%2A5%2F20+=+1%2F1254 ALIGN=MIDDLE  ALT=\"7%2F22%2A6%2F21%2A5%2F20+=+1%2F1254\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(BBB) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F22%2A8%2F21%2A7%2F20+=+1%2F209 ALIGN=MIDDLE  ALT=\"9%2F22%2A8%2F21%2A7%2F20+=+1%2F209\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(YYY) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F22%2A5%2F21%2A4%2F20%2A3%2F19%2A2%2F18+=+1%2F4389 ALIGN=MIDDLE  ALT=\"6%2F22%2A5%2F21%2A4%2F20%2A3%2F19%2A2%2F18+=+1%2F4389\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Probability of choosing five marble of any one of the three colours<BR>\n" );
document.write( "= P(GGG) + P(BBB) + P(YYY) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1254+%2B+1%2F209+%2B+1%2F4389+=+17%2F2926+=+0.58%25 ALIGN=MIDDLE  ALT=\"1%2F1254+%2B+1%2F209+%2B+1%2F4389+=+17%2F2926+=+0.58%25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "Answer<BR>\n" );
document.write( "The probability of randomly choosing 5 marbles of the same colour is approximately 0.58%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );