A number is chosen at random from the first 100 positive integers. Find the probability that the number chosen is prime.
2 answers:
<h2>Answer:</h2>
The probability that the number chosen is prime is:
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:
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