document.write( "Question 299945: A student and a professor each choose a number between 1 and 6 (1 and 6 are both possible choices). What is the probability that the two choose the same number? \n" ); document.write( "
Algebra.Com's Answer #215342 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A student and a professor each choose a number between 1 and 6 (1 and 6 are both possible choices). What is the probability that the two choose the same number? \n" ); document.write( "---------------------------- \n" ); document.write( "There are 6*6 = 36 possible pairs \n" ); document.write( "--- \n" ); document.write( "There are 6 pairs that have the same number: 1/1,2/2,3/3 etc. \n" ); document.write( "---- \n" ); document.write( "P(pair of same digits) = 6/36 = 1/6 \n" ); document.write( "---- \n" ); document.write( "Another way to think of the problem. \n" ); document.write( "The student chooses any of the 6 digits. \n" ); document.write( "Prob the professor chooses the same digit = 1/6 \n" ); document.write( "================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |