SOLUTION: A number is chosen at random from 1 to 25. Find the probability of selecting a prime number.
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Question 854516: A number is chosen at random from 1 to 25. Find the probability of selecting a prime number.
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Given the set of 25 integers, {1..25}, there is a set of nine prime numbers {2,3,5,7,11,13,17,19,23}.
The probability of an event occurring is the number of favorable events that can occur divided by the total number of possible events.
In this case we want the probability of selecting a prime number from a set of twenty five integers. Therefore we have
(1) P(selecting a prime number) = (Number of prime numbers)/(all possible numbers that can be selected) or
(2) P(prime) = 9/25
Answer: The probability of selecting a prime number from the integers 1 through 25 is 9/25.
Note: one is NOT a prime number.
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