Given that the two numbers appearing on throwing two dice are different. Find the probability of the event ‘the sum of numbers on the dice is 4’.

Question

Philoid · Accepted Answer

The sample space of the given experiment is:

Let E be the event that ‘the sum of numbers on the dice is 4’ and F be the event that ‘the two numbers appearing on throwing the two dice are different’.

⇒ E = {(1, 3), (2, 2), (3, 1)}

And

⇒ E ∩ F = {(1, 3), (3, 1)}

……….(i)

Now, we know that

By definition of conditional probability,