Question

Sam writes down the numbers $1,$ $2,$ $\dots,$ $315.$

Sam chooses one of the digits written down at random. What is the probability that Sam chooses a $2$?
btw the answer isnt 1/102

Answer 1

The probability of choosing a 2 from the numbers 1 to 315 is 1/35.

Step-by-step explanation:

To find the probability of choosing a 2 from the numbers 1 to 315, we need to determine the number of times the digit 2 appears in that range and divide it by the total number of digits in that range.

The digit 2 appears in the numbers 2, 12, 20, 21, ..., 292, 302, 312, so we can see that there are 9 numbers that have the digit 2.

The total number of numbers from 1 to 315 is 315, so the probability of choosing a 2 is 9/315, which simplifies to 1/35.