Question

ask all the student in your class to write a 3-digit number. Choose any student from the room at random. what is the probibality that the number written by her/him is divisble by 3? remember that a number is divisible by 3, if the sum of its digits is divisble by 3

Answer 1

Answer:

100/333

Step-by-step explanation:

There are a total of 999 three-digit numbers.

300 three-digit numbers are divisible by three.

You can find this out using AP,

taking aₙ = 999 (last three digit number divisible by three)

a = 102 ( first three digit number which is divisible by 3)

and d = 3.

Now,

probability (3 digit no.s divisible by 3)

= no. of 3 digit no.s divisible by 3

/ total no. of three digit numbers

= 300/999

= 100/333

Hope it helps.