document.write( "Question 215725: What is the sum of the probabilities of all the outcomes in a sample space? \n" ); document.write( "
Algebra.Com's Answer #162992 by drj(1380)![]() ![]() You can put this solution on YOUR website! What is the sum of the probabilities of all the outcomes in a sample space?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer is 1. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For example, a coin has two possible outcomes: heads or tails.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Probability of heads is 1/2 and probability of tails is 1/2 for one toss. 1/2+1/2=1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another example: consider six-headed die where each face has a probability of 1/6 for a single toss. But all the outcomes is added to 1 since its sum is 6*(1/6)=1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J \n" ); document.write( " |