A sample pace runninum integers `1, 2, 3 ,.... 100.` The probability of choosing an integer his proportional to `lnk.` The conditional probability of choosing the integer `'2',` given that even integer is choosen, the integer is

Let S = {1, 2, … 100}. The probability of choosing an integer k, 1lekle100 is proportional to log k. The conditional probability of choosing the integer 2, given that an even integer is chosen is

Suppoe a simple consist of the integers 1,2,….2n, the probability of choosing an integer k is proportion to log k . Show that the conditional probability of choosing the integer 2, given that even integer is chosen is (log2)/((n) log 2 +log(n!)) .

Suppoe a simple consist of the integers 1,2,….2n, the probability of choosing an integer k is proportion to log k . Show that the conditional probability of choosing the integer 2, given that even integer is chosen is (log2)/((n) log 2 +log(n!)) .

An integer is chosen form 1 to 100. Find the probability that: integer chosen is composite.

An integer is chosen form 1 to 100. Find the probability that: integer chosen is a prime number.

An integer is chosen at random from the integers 1, 2, 3, …, 50 . The probability that the chosen integer is a multiple of atleast one of 4, 6 and 7 is

Out of 30 consecutive integers 2 are choosen at random. Find the probability so that their sum is odd.

If m is an even integer, show that m^(2) is also an even integer.