document.write( "Question 773457: Think about all the four - digit numbers you could make with the digits 1-4. What is the probabilty that the first digit will be a 3? Please help. Explain fully. Make me understand so I can explain to others. \n" ); document.write( "
Algebra.Com's Answer #471567 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 1,2,3,4\r \n" ); document.write( "\n" ); document.write( "The sample space is the set of all possible outcomes \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S={1234, 1243, 1324, 1342, 1423, 1432, 2134, 2143, 2314, 2341, 2413, 2431, 3124 \n" ); document.write( " 3142, 3214, 3241, 3412, 3421, 4123, 4132, 4213, 4231, 4312,4321,}\r \n" ); document.write( "\n" ); document.write( "24 numbers can be formed.\r \n" ); document.write( "\n" ); document.write( "number of sample points = n(S)=24\r \n" ); document.write( "\n" ); document.write( "We should get a number starting from 3. How many are there?\r \n" ); document.write( "\n" ); document.write( "Number of favourable outcomes Or event of a number starting from 3 \n" ); document.write( "denote by set A \n" ); document.write( "A={3124, 3142, 3214, 3241, 3412, 3421,} \n" ); document.write( "n(A)=6\r \n" ); document.write( "\n" ); document.write( "probability of the number starting from 3 =( number of favorable outcomes/number of possible outcomes)\r \n" ); document.write( "\n" ); document.write( "n(P) = n(A)/n(S)\r \n" ); document.write( "\n" ); document.write( "=6/24\r \n" ); document.write( "\n" ); document.write( "=1/4 \n" ); document.write( " |