Question

an integer is chosen from 1 to 100.find the probability that (1)integer choose is a prime numbers (2) integer chosen is composite and (3) a multiple of 11

Answer 1

1)there are 25 prime no. between 1to 100.

so probability will be 25/100=1/4

2)composite no are 74

so probability will be 74/100=0.74

3) there are 9 multiple of 11

so the probability will be 9/100=0.09

hope its helpful.......

mark as brainlest

Answer 2

Let's articulate your (apparent) assumptions a little more formally: we will draw an integer between 1 and 100 with equal probability. What is the probability the number drawn is a prime?

The probability of any particular number is 1/100, and the probability that a number in a set of m distinct numbers is m/100. So, for example the probability of a number less than 10 is 9/100.

Now let's enumerate the primes: 1 (a special case, but let's call it prime), 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Twenty-six primes, so slightly over 1/4 probability (if we call 1 not prime then exactly 1/4).