document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192379>Question 1192379</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Indian cricket team losses twice as often as it wins. What is the probability that in 5 next matches, India wins 3 matches?  </SPAN>\n" );
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document.write( "P(win) = 1/3<BR>\n" );
document.write( "P(lose) = 2/3<br><BR>\n" );
document.write( "The probability of winning 3 and losing 2 in any particular order is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F3%29%5E3%29%2A%28%282%2F3%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28%281%2F3%29%5E3%29%2A%28%282%2F3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The number of different orders in which they can win 3 and lose 2 is C(5,3).<br><BR>\n" );
document.write( "So the probability that they win 3 of 5 matches is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%285%2C3%29%2A%28%281%2F3%29%5E3%29%2A%28%282%2F3%29%5E2%29 ALIGN=MIDDLE  ALT=\"C%285%2C3%29%2A%28%281%2F3%29%5E3%29%2A%28%282%2F3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );