The probability that the number chosen is prime is:
[tex]\dfrac{1}{4}[/tex]
The probability of an event is defined as the ratio of number of favorable outcome to the total number of outcomes.
Here the total number of outcomes are: 100
( Since we have to take first 100 positive integers i.e. 1-100)
Also, the number of favorable outcomes i.e. the number of prime numbers between 1-100 is: 25
( Since, the prime numbers are:
2,3,5,7,11,13,17,19,23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97 )
Hence, the probability that the number chosen is prime is:
[tex]Probability=\dfrac{25}{100}\\\\\\Probability=\dfrac{1}{4}[/tex]
