document.write( "Question 1185098: A six-sided die is printed with the numbers 1,2,3,5,8 and 13. Roll the dice
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document.write( "once- what is the probability of getting an even number?
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document.write( "roll the die twice and add the numbers; what is the probability of getting
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document.write( "an odd sum? \n" );
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Algebra.Com's Answer #815846 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! A six-sided die is printed with the numbers 1,2,3,5,8 and 13. \n" ); document.write( "(a) Roll the dice once- what is the probability of getting an even number? \n" ); document.write( "(b) roll the die twice and add the numbers; what is the probability of getting \n" ); document.write( "an odd sum? \n" ); document.write( "~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(a) The probability is the ratio of favorable outputs to the total outputs.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " In question (a), there are 2 favorable outputs against 6 total outputs.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " You can do the rest.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) In case (b), the total number of all possible outputs is 6*6 = 36.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Of them, favorable are sums of even and odd outputs, and the number of such outputs (pairs) is 2*4 + 4*2 = 16.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " So, the number of total favorable outputs is 16 against total possible outputs 36.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " THEREFORE, the probability in case (b) is P =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "An idea which I want to deliver to you in my post is THIS:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " To answer question (b), it is not necessary to calculate all, each and every of 36 possible outputs individually and separately.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " You can evaluate all necessary numbers for the solution in more simple and cheaper way, spending less efforts.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |