what is the probability that a randomly chosen number from 1-100 is a multiple of 5
To find the probability of selecting a multiple of 5 from 1 to 100, we need to determine the total number of multiples of 5 in that range.
Step 1: Determine the number of multiples of 5 from 1 to 100.
The multiples of 5 are guaranteed to start from 5 and increase by 5 each time. We can find how many multiples of 5 fall within the range by dividing 100 by 5:
100 รท 5 = 20
Therefore, there are 20 multiples of 5 between 1 and 100.
Step 2: Determine the total number of integers from 1 to 100.
The total number of integers from 1 to 100 is simply 100.
Step 3: Calculate the probability.
The probability of selecting a multiple of 5 can be calculated by dividing the number of multiples of 5 by the total number of integers:
Probability = Number of multiples of 5 / Total number of integers
Probability = 20 / 100
Simplifying, we find that the probability is:
Probability = 1 / 5
Therefore, the probability of randomly choosing a multiple of 5 from 1 to 100 is 1/5 or 0.2 (or 20%).