Question

if the sum of last two digits of a three digit number is divisible 9 what is the probability of the number being divisible by 3
a 1
b 1/9
c 1/3
d 2/3 ​

Answer 1

Step-by-step explanation:

You could do this one numerous different ways, but the simplest way to think about it is every fourth number is divisible by 4. So the odds of you picking one at random is 1414

Cheers

Answer 2

Given: The sum of last two digits of a three digit number is divisible by 9

To find: Probability that it is divisible by 3

Explanation: The numbers that are divisible by 3 may or may not be divisible by 9.

For example- 12 is divisible by 3 but not by 9.

On the other hand, numbers that are divisible by 9 are definitely divisible by 3.

For example- 72 divisible by both 3 and 9.

Therefore, when the last two digits are divisible by 9, they are surely divisible by 3.

Probability of an event that will surely happen is 1.

Therefore, the probability of number being divisible by 3 is option (a) 1.