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
Thank you it is appreciated.
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
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!
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.