document.write( "Question 1015108: A bag contains 2 white balls and 3 black balls, 4 person w,x,y,z in the order named each drawn one ball and not replace it. The first drawn a white ball and received $200, determine their expectations. \n" ); document.write( "
Algebra.Com's Answer #631565 by mathmate(429)\"\" \"About 
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\n" ); document.write( "Question:
\n" ); document.write( "A bag contains 2 white balls and 3 black balls, 4 person w,x,y,z in the order named each drawn one ball and not replace it. The first drawn a white ball and received $200, determine their expectations.
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\n" ); document.write( "Solution:
\n" ); document.write( "Since the balls are not replaced, their expectations are all different.
\n" ); document.write( "The expectation of w is that he draws a white ball on the first draw, or
\n" ); document.write( "E(w)=P(w)*200=\"2%2F5%2A200=80\";
\n" ); document.write( "The expectation of x winning is if w draws a black AND x draws a white, or
\n" ); document.write( "E(x)=P(x)*200=\"%283%2F5%29%2A%282%2F4%29%2A200=3%2F10%2A200=60\";
\n" ); document.write( "Similarly, the expectation of y winning is
\n" ); document.write( "E(y)=P(y)*200=\"%283%2F5%29%2A%282%2F4%29%2A%282%2F3%29%2A200=1%2F5%2A200=40\";
\n" ); document.write( "Finally, if w, x and y all drew a black ball, the remaining balls are white!
\n" ); document.write( "E(z)=P(z)*200=\"%283%2F5%29%2A%282%2F4%29%2A%281%2F3%29%2A1%2A200=1%2F10%2A200=20\";
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\n" ); document.write( "Check:
\n" ); document.write( "E(w)+E(x)+E(y)+E(z)=\"80%2B60%2B40%2B20=200\" ..... ok
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