if you pick a number between 1 and 100 inclusive what is the probability of picking a number which is not a multiple of 27
how many multiples of 27 are there? 27, 54, 81
The rest are not multiples.
So, what do you think?
To determine the probability of picking a number between 1 and 100 inclusive that is not a multiple of 27, we first need to find out how many numbers in that range are multiples of 27.
To do this, we divide the highest number in our range (100) by 27 and round down to the nearest whole number: 100 / 27 ≈ 3.70, rounded down to 3. This tells us that there are 3 numbers between 1 and 100 (inclusive) that are multiples of 27.
Next, we calculate the total number of numbers in our range. Since we are considering all whole numbers from 1 to 100 inclusive, there are 100 numbers in total.
Therefore, the number of numbers that are not multiples of 27 can be calculated by subtracting the number of multiples of 27 (which is 3) from the total number of numbers (which is 100).
100 - 3 = 97
So, there are 97 numbers between 1 and 100 (inclusive) that are not multiples of 27.
Finally, to calculate the probability, we divide the number of favorable outcomes (97) by the total number of possible outcomes (100). Therefore, the probability of picking a number between 1 and 100 (inclusive) that is not a multiple of 27 is:
97 / 100 ≈ 0.97 or 97%