Question

Three digit number are formed with 0 1 2 3 4 without repetition. the probability that a number thus formed is divisible by 2 is

Answer 1

124.Divide it by 2 answer will be 64

Answer 2

Answer:

$\textbf{The required probability is : }\frac{36}{125}$

Step-by-step explanation:

For a number to be divisible by 2 its ones digit should be even number.

So, only possibility of three digit number to be divisible by 2 : Its ones digit should be even and among 0, 1, 2, 3, 4 even numbers are 0, 2, 4

$\textbf{So, probability of ones digit = }\frac{3}{5}$

Now, as repetition is not allowed so we are left with only 4 digits and no additional condition is needed to form a number divisible by 2.

$\textbf{So, probability of tens digit = }\frac{4}{5}$

Again as repetition is not allowed so we are left with only 3 digits.

$\textbf{So, probability of hundreds digit = }\frac{3}{5}\\\\\implies \textbf{The combined required probability = }\frac{3}{5}\times \frac{4}{5}\times \frac{3}{5}\\\\\implies \textbf{The required probability = }\frac{36}{125}$