\u201cMaster, what are relative primes,\u201d asked Lanoo.<\/p>\n
\u201cLanoo, they are two integers that cannot be divided by any one prime number. The only common divisor of the two numbers is 1,\u201d replied the Master.<\/p>\n
\u201cDoes that mean that if I have two different integers, no prime number will divide both of them,\u201d repeated Lanoo.<\/p>\n
\u201cYes, indeed,\u201d smiled the Master. \u201cYou might try working out the probability that any two random integers less than 100 will be relatively prime,\u201d challenged the Master.<\/p>\n
\u201cI will certainly give it a try,\u201d said Lanoo eagerly, pulling out a notebook and a pencil.<\/p>\n
Can you help Lanoo work this out? Could the probability you obtain also apply in some way to any two integers greater than 100 picked at random? \u00a0<\/em><\/p>\nShare this:<\/h3>