Find the probability that a number selected from the number 30 to 50 inclusive is a prime

Assessment: WAEC SSCE - General Mathematics - 1994 (Objective) Subject: General Mathematics

Question 1 Report

Find the probability that a number selected from the number 30 to 50 inclusive is a prime
Answer Details

We know that prime numbers are numbers that are divisible only by 1 and themselves. To solve this problem, we can simply list the prime numbers between 30 and 50, and count how many there are. The prime numbers between 30 and 50 are: 31, 37, 41, 43, and 47. There are 5 prime numbers in this range.

The total number of integers between 30 and 50 (inclusive) is 21 (50 - 30 + 1 = 21). Therefore, the probability of selecting a prime number from this range is:

    5 prime numbers
    --------------- = 5/21
         21 numbers

So the answer is 5/21.

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