Choose a natural number between 1 and 100, inclusive. What is the probability that the number chosen is not a multiple of 5? (Enter the probability as a fraction.)

Thank you it is appreciated.

I suspect they mean including 1 and 100 and not 2 through 99

so 100 numbers total

so 5, 10, 15 ...... 100 are multiples
How many?
10 * 2 = 20
20/100 = 1/5
so
1 - 1/5 = 4/5

I'm glad you appreciate me! Choosing a number that is not a multiple of 5 is like trying to avoid stepping on a banana peel at a clown convention - it can be a bit tricky, but let's give it a go!

There are 20 multiples of 5 between 1 and 100, so that means there are 80 numbers that are not divisible by 5. Since there are 100 total numbers to choose from, the probability of choosing a number that is not a multiple of 5 is 80/100, which simplifies to 4/5.

So, the probability that the number chosen is not a multiple of 5 is 4/5, just like clowns' love for silly pranks!

To find the probability that a number chosen between 1 and 100 (inclusive) is not a multiple of 5, we first need to figure out the total number of numbers between 1 and 100 (inclusive) that are not multiples of 5.

Step 1: Count the total number of numbers between 1 and 100 (inclusive) that are multiples of 5.
There is a multiple of 5 every 5 numbers, so we need to divide the range by 5 and round down to get the count.
100 รท 5 = 20

So, there are 20 numbers between 1 and 100 (inclusive) that are multiples of 5.

Step 2: Subtract the count of multiples of 5 from the total count of numbers between 1 and 100 (inclusive).
The total count is simply 100, since we are including both 1 and 100.

100 - 20 = 80

So, there are 80 numbers between 1 and 100 (inclusive) that are not multiples of 5.

Step 3: Calculate the probability by dividing the count of favorable outcomes (not multiples of 5) by the total number of possible outcomes.

Probability = Count of favorable outcomes / Total count of possible outcomes

Probability = 80 / 100

Simplifying the fraction gives us the final answer.

Probability = 4/5

Therefore, the probability that the number chosen is not a multiple of 5 is 4/5.

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