Question

Using the digits 0, 2, 3, 5 the two-digit numbers are constructed without repetition of digits. Find the probability of the following events:

Condition for event A: The number formed is even.

Answer 1

As we have to form two-digit numbers, 0 cannot be at tens place.

The Sample Space S = {20, 23, 25, 30, 32, 35, 50, 52, 53}

∴ n (S) = 9

Let A be the event that the number formed is even.

Even two-digit numbers = {32, 52, 20, 30, 50}

⇒ n(A) = 5

Thus, P(A) = `"Number of even digits numbers"/"Total number of two-digits numbers"`

= `5/9`