From 101 to 500, if a number is chosen at random, what is the probability that the number ends with 0 ?

Sure, here is the step by step solution:

Step 1: Identify the total number of outcomes. The total number of outcomes is the total number of numbers from 101 to 500. This can be calculated as 500 - 101 + 1 = 400.

Step 2: Identify the number of favorable outcomes. The favorable outcomes are the numbers that end with 0. These are the multiples of 10 from 101 to 500. The smallest multiple of 10 in this range is 110 and the largest is 500. To find the total number of multiples of 10, we divide 500 by 10 to get 50 and 110 by 10 to get 11. So, the total number of multiples of 10 between 101 and 500 is 50 - 11 + 1 = 40.

Step 3: Calculate the probability. The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability that a number chosen at random from 101 to 500 ends with 0 is 40/400 = 0.1 or 10%.