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Question
A team of medical students doing their internship have to assist during surgeries at a city hospital. The probabilities of surgeries rated as very complex, complex, routine, simple or very simple are respectively, 0.15, 0.20, 0.31, 0.26, .08. Find the probabilities that a particular surgery will be rated complex or very complex
Solution
Let E1, E2, E3, E4 and E5 be the events that the surgeries are rated as very complex, complex, routine, simple and very simple respectively.
∴ P(E1) = 0.15
P(E2) = 0.20
P(E3) = 0.31
P(E4) = 0.26
And P(E5) = 0.08
P(complex or very complex) = P(E1 or E2)
⇒ P(E1 ∪ E2) = P(E1) + P(E2) – P(E1 ∩ E2)
= 0.15 + 0.20 – 0
= 0.35 .....[∵ All event are independent]
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