Arun and Tarun appeared for an interview for two vacancies. The probability of Arun’s selections is 1/4 and that of Tarun’s rejection is 2/3. Find the probability that at least one of them will be selected.

Question

Philoid · Accepted Answer

Given that,

⇒ P(A_S) = P(Arun’s selection)

⇒

⇒ P(A_N) = P(Arun’s rejection)

⇒

⇒ P(T_N) = P(Tarun’s rejection)

⇒

⇒ P(T_S) = P(Tarun’s selection)

⇒

We need to find the probability that at least one of them will be selected

⇒ P(S_atone) = P(Selecting at least one of them)

⇒ P(S_atone) = P(selecting only Arun) + P(selecting only Tarun) + P(Selecting both)

Since selection of each person is an independent event their probabilities multiply each other

⇒

∴ The required probability is .