document.write( "Question 433456: I cant finish these homework problems. The problem is set up as a rectangle with 6 columns down and 3 rows across. a is in the left corner and z is in the bottom right. b is located 2 columns across starting at a, one row down. C is located 3 columns across ad 2 rows down from a.
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\n" ); document.write( "\n" ); document.write( ") Given that a route passes through B, what is the probability that it also passes through point C? Answer in fraction.\r
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Algebra.Com's Answer #300489 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The other tutor's answer is incorrect.\r\n" );
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document.write( "I will assume that by \"path\" you mean that you always start from a,\r\n" );
document.write( "then move right or down, never left or up.\r\n" );
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document.write( "[ a ][   ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][ b ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][   ][ c ][   ][   ][ z ]\r\n" );
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document.write( "I will indicate with a right arrow → that the next move from \r\n" );
document.write( "that space will be to the right, and indicate with a down arrow ↓\r\n" );
document.write( "that the next move will be downward. \r\n" );
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document.write( "There are only three ways to go from a to b:\r\n" );
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document.write( "#1.\r\n" );
document.write( "[ a→][  →][ ↓ ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][ b ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][   ][ c ][   ][   ][ z ]\r\n" );
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document.write( "#2.\r\n" );
document.write( "[ a→][ ↓ ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][  →][ b ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][   ][ c ][   ][   ][ z ]\r\n" );
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document.write( "#3.\r\n" );
document.write( "[ a↓][   ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[  →][  →][ b ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][   ][ c ][   ][   ][ z ]\r\n" );
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document.write( "But that's irrelevant, because you are given that your path goes\r\n" );
document.write( "through b.  Therefore regardless of how you got from a to b, there \r\n" );
document.write( "are only these 5 ways to get from b to z, 2 go through c and 3\r\n" );
document.write( "don't. \r\n" );
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document.write( "1.\r\n" );
document.write( "[ a ][   ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][ b→][  →][  →][  →][ ↓ ]\r\n" );
document.write( "[   ][   ][   ][ c ][   ][   ][ z ]   Does not go through c\r\n" );
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document.write( "2.\r\n" );
document.write( "[ a ][   ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][ b→][  →][  →][ ↓ ][   ]\r\n" );
document.write( "[   ][   ][   ][ c ][   ][  →][ z ]   Does not go through c\r\n" );
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document.write( "3.\r\n" );
document.write( "[ a ][   ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][ b→][  →][ ↓ ][   ][   ]\r\n" );
document.write( "[   ][   ][   ][ c ][  →][  →][ z ]   Does not go through c\r\n" );
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document.write( "4.\r\n" );
document.write( "[ a ][   ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][ b→][ ↓ ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][   ][ c→][  →][  →][ z ]   Goes through c\r\n" );
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document.write( "5.\r\n" );
document.write( "[ a ][   ][   ][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][ b↓][   ][   ][   ][   ]\r\n" );
document.write( "[   ][   ][  →][ c→][  →][  →][z  ]   Goes through c\r\n" );
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document.write( "Therefore the probability of going from b through c from b \r\n" );
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document.write( "is 2 ways out of 5, or a probability of 2/5\r\n" );
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document.write( "Edwin

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