document.write( "Question 1115289: Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled.
\n" ); document.write( "The red one is 4, given that the sum is 9.
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Algebra.Com's Answer #730195 by rothauserc(4718) $\"\"$ $\"About$

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there are 36 events in the sample space
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\n" ); document.write( "(r1, g1), (r1, g2), (r1, g3), (r1, g4), (r1, g5), (r1, g6)
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\n" ); document.write( "(r2, g1), (r2, g2), (r2, g3), (r2, g4), (r2, g5), (r2, g6)
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\n" ); document.write( "(r3, g1), (r3, g2), (r3, g3), (r3, g4), (r3, g5), (r3, g6)
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\n" ); document.write( "(r4, g1), (r4, g2), (r4, g3), (r4, g4), (r4, g5), (r4, g6)
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\n" ); document.write( "(r5, g1), (r5, g2), (r5, g3), (r5, g4), (r5, g5), (r5, g6)
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\n" ); document.write( "(r6, g1), (r6, g2), (r6, g3), (r6, g4), (r6, g5), (r6, g6)
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\n" ); document.write( "Note r means red die and g means green die
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\n" ); document.write( "The problem asks for the probability that the red one is 4, given that the sum is 9
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\n" ); document.write( "we can see that there is one event (r4, g5) that satisfies and the probability is 1/36
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