document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181305>Question 1181305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	A fair coin is tossed. If “heads” occur, two chips are drawn from a basket with three blue and two red chips; otherwise, the experiment is terminated. Participants will be interested in the event E of observing two chips of different colors.<BR>\n" );
document.write( "a)	Give the sample space of the random experiment.<BR>\n" );
document.write( "b)	Find the a priori probability of event E<BR>\n" );
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document.write( "a) sample space<br><BR>\n" );
document.write( "(1) tails<BR>\n" );
document.write( "(2) heads; 2 red<BR>\n" );
document.write( "(3) heads; 1 red and 1 blue<BR>\n" );
document.write( "(4) heads; 2 blue<br><BR>\n" );
document.write( "b) P(heads; 1 red and 1 blue)<br><BR>\n" );
document.write( "P(heads) = 1/2<br><BR>\n" );
document.write( "Once the heads is obtained, the probability of choosing 1 of the 3 blue and 1 of the 2 red is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%283%2C1%29%2AC%282%2C1%29%29%2FC%285%2C2%29+=+%283%2A2%29%2F10+=+6%2F10+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28C%283%2C1%29%2AC%282%2C1%29%29%2FC%285%2C2%29+=+%283%2A2%29%2F10+=+6%2F10+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So P(heads; 1 red and 1 blue) = (1/2)(3/5) = 3/10.<br><BR>\n" );
document.write( "ANSWER: 3/10<br><BR>\n" );
document.write( "NOTE: If you are just learning to solve probability problems like this, it is a good exercise to calculate the probabilities of all the outcomes in the sample space and verify that the sum of all the probabilities is 1.<br><BR>\n" );
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