Counting Outcomes in the Union of Prime and Odd Numbers: A Mathematical Analysis

How many outcomes are in Prime U Odd?

To determine the number of outcomes in “Prime U Odd,” we need to understand the criteria for each category

To determine the number of outcomes in “Prime U Odd,” we need to understand the criteria for each category.

Prime numbers: Prime numbers are numbers that are only divisible by 1 and themselves. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and so on.

Odd numbers: Odd numbers are integers that are not divisible evenly by 2. They have a remainder of 1 when divided by 2. Examples of odd numbers are 1, 3, 5, 7, 9, 11, 13, 15, and so on.

Now, let’s find the number of outcomes in “Prime U Odd.” The U represents the union between two categories, which means the outcomes that can be classified as either prime numbers or odd numbers.

To find the number of outcomes, we need to count the total number of prime numbers and the total number of odd numbers and then subtract the duplicates.

First, let’s consider prime numbers. The total number of prime numbers depends on the specific range we are considering. If we assume we are considering prime numbers between 1 and 100 (inclusive), we can count the following prime numbers: 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. That gives us a total of 25 prime numbers in this range.

Next, let’s consider odd numbers. If we consider the range between 1 and 100, we count all the odd numbers between these values. This includes 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, and 99. This gives us a total of 50 odd numbers in this range.

Now, when we take the union of the two sets (prime numbers and odd numbers), we need to remove any duplicates. In this case, the number 3 is common to both the sets.

Thus, the total number of outcomes in “Prime U Odd,” without duplicates, is 25 + 50 – 1 = 74.

Therefore, there are 74 outcomes in “Prime U Odd” in the range of 1 to 100.

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