How do you solve:
n is 2 given that it is even
The directions say "let n be a randomly selected integer from 1-20. Find the indicated probability"
To solve the problem, we need to find the probability of randomly selecting an even number from the integers 1 to 20, given that n is 2.
To start, let's determine the total number of integers between 1 and 20. Since we are considering a range of numbers from 1 to 20 (inclusive), we have a total of 20 integers.
Next, we need to count the number of even integers between 1 and 20. Even integers are divisible by 2, so we can list the even numbers: 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20. Counting them, we find that there are 10 even numbers.
Now, we can calculate the probability by dividing the number of favorable outcomes (even numbers) by the total number of possible outcomes (all numbers between 1 and 20).
probability = (number of favorable outcomes) / (total number of possible outcomes)
probability = 10 / 20
probability = 0.5
Therefore, the probability of randomly selecting an even number from the integers 1 to 20, given that n is 2, is 0.5 or 50%.