you dump a box of numbered sticks from 1 to 100, what is the probability that I will get a multiple of 5,
1/5
To calculate the probability of getting a multiple of 5 when randomly selecting a stick from a box of numbered sticks from 1 to 100, we need to determine the number of favorable outcomes (i.e., sticks that are multiples of 5) and the total number of possible outcomes (i.e., the total number of sticks in the box).
First, let's find the number of favorable outcomes:
The multiples of 5 from 1 to 100 are 5, 10, 15, 20, ... , 95, 100. We can find this by starting at 5 and adding 5 repeatedly until we reach 100.
Using a simple formula, (last term - first term) / common difference + 1, we can calculate the number of numbers in the sequence. So, (100 - 5) / 5 + 1 = 20.
So, there are 20 favorable outcomes (multiples of 5).
Next, let's find the total number of possible outcomes:
Since the sticks are numbered from 1 to 100, the total number of sticks in the box is 100.
Finally, we can calculate the probability:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 20 (favorable outcomes) / 100 (possible outcomes)
Simplifying, we have:
Probability = 1/5
Therefore, the probability of randomly selecting a stick that is a multiple of 5 from a box of numbered sticks from 1 to 100 is 1/5 or 0.2 (20%).