What is the probability that a 2-digit number chosen at random is divisible by 17?
To determine the probability that a 2-digit number chosen at random is divisible by 17, we need to find out how many 2-digit numbers are divisible by 17, and then divide that by the total number of 2-digit numbers.
First, let's determine the range of 2-digit numbers. The smallest 2-digit number is 10, and the largest 2-digit number is 99. So, there are a total of 90 2-digit numbers.
Next, we need to find out how many of these numbers are divisible by 17. The largest 2-digit number divisible by 17 is 85, and the smallest is 17. We can calculate how many numbers are divisible by 17 by looking at the pattern. Starting from 17, if we add 17 each time, we get the following sequence: 17, 34, 51, 68, 85. So, there are 5 numbers in the range of 2-digit numbers that are divisible by 17.
Finally, the probability that a 2-digit number chosen at random is divisible by 17 is given by the ratio of the number of numbers divisible by 17 to the total number of 2-digit numbers.
Probability = (Number of numbers divisible by 17) / (Total number of 2-digit numbers)
Probability = 5 / 90
Probability ≈ 0.056 or 5.6%
Therefore, the probability that a 2-digit number chosen at random is divisible by 17 is approximately 5.6%.
there are 90 2-digit numbers
How many are multiples of 17?
divide that by 91 to get your probability