document.write( "Question 1028531: The ODDS against a certain event happening tomorrow are 7 to 3, and the odds in favor of another event, independent of the former, happening tomorrow are 8 to 5. Find the probability that at least one of these two events will happen tomorrow. Express your answer as a common fraction reduced to lowest terms. \r
\n" ); document.write( "\n" ); document.write( "Answer: 19/26\r
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Algebra.Com's Answer #643626 by robertb(5830) $\"\"$ $\"About$

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P(Event 1) = $\"3%2F%287%2B3%29+=+3%2F10+\"$
\n" ); document.write( "P(Event 2) = $\"8%2F%285%2B8%29+=+8%2F13\"$ \r
\n" ); document.write( "\n" ); document.write( "==> P(Event 1 ∪ Event 2) = P(Event 1) + P(Event 2) - P(Event 1 ∩ Event 2)
\n" ); document.write( "<==>P(Event 1 ∪ Event 2) = P(Event 1) + P(Event 2) - P(Event 1)*P(Event 2)\r
\n" ); document.write( "\n" ); document.write( " = $\"3%2F10+%2B+8%2F13+-+%283%2F10%29%288%2F13%29+=+19%2F26\"$ \n" ); document.write( "

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