A die is tossed thrice. Find the probability of getting an odd number at least once.

Question

Philoid · Accepted Answer

Given: A die is tossed thrice.

The sample space S = {1, 2, 3, 4, 5, 6}

Let P(A) = probability of getting an odd number in first throw.

⇒ P(A) = .

Let P(B) = probability of getting an even number.

⇒ P(B) = .

Now, probability of getting an even number in three times =

So, probability of getting an odd number at least once

= 1 – probability of getting an odd number in no throw

= 1 - probability of getting an even number in three times

∴ probability of getting an odd number at least once =