A number is chosen at random from the first 100 positive integers. Find the probability that the number chosen is prime. 1/5 1/4 1/3

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asked Dec 4, 2020 201k views

2 Answers

Phentnil · Answer 1 · 2020-12-11T03:30:18+0000

The probability that the number chosen is prime is:

(1)/(4)

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:

$Probability=(25)/(100)\\\\\\Probability=(1)/(4)$