document.write( "Question 1191823: Two dice are rolled and the sum of the outcomes is counted. (correct your answers to 4 decimal places.)\r
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\n" ); document.write( "(b) Find the probability that the sum is smaller than 4. \n" ); document.write( "

Algebra.Com's Answer #823676 by ikleyn(53765) $\"\"$ $\"About$

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\n" ); document.write( "Two dice are rolled and the sum of the outcomes is counted. (correct your answers to 4 decimal places.)
\n" ); document.write( "(a) Find the probability that the sum is divisible by 5.
\n" ); document.write( "(b) Find the probability that the sum is smaller than 4.
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\n" ); document.write( "\n" ); document.write( "When two dice are rolling, there are 36 possible outcomes with the probability $\"1%2F36\"$ each.\r
\n" ); document.write( "\n" ); document.write( "These outcomes are the pairs (a,b), where \"a\" and \"b\" are integer numbers from 1 to 6 inclusive.\r
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document.write( "(a)  So, we need to count the number of all favorable outcomes.\r\n" );
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document.write( "     Favorable outcomes are, obviously, those where the sum a+b is 5 or 10.\r\n" );
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document.write( "     There are 4 possible outcomes with the sum of 5. They are (1,4), (2,3), (3,2) and (4,1).\r\n" );
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document.write( "     Also, there are 3 possible outcomes with the sum of 10. They are (4,6), (5,5) and (6,4).\r\n" );
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document.write( "     Thus, there are 4 + 3 = 7 favorable outcomes; therefore, the probability that the sum is divisible by 5 is .    ANSWER\r\n" );
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document.write( "(b)  \"the sum is smaller than 4\" means that the sum is either 2 or 3.\r\n" );
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document.write( "      There are 3 possible favorable outcomes (1,1), (1,2) and (2,1) with the sum 2 or 3.\r\n" );
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document.write( "      Therefore, the probability that the sum is smaller than 4 is   = .    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to learn this subject and this class of problems BETTER, DEEPER and WIDER, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Rolling a pair of fair dice \r
\n" ); document.write( "\n" ); document.write( "in this site. You will find there many other similar solved problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Solved problems on Probability\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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