Question

state and prove basic probability theorem​

Answer 1

Step-by-step explanation:

Basic Theorems of Probability

There are some theorems associated with the probability. Let us study them in detail.

Theorem 1

The probability of the complementary event A’ of A is given by P(A’) = 1 – P(A).

Proof: The events A and A’ are mutually disjoint and together they form the whole sample space.

A ∪ A’ = S ⇒ P(A ∪ A’) = P(S) or, P(A) + P(A’) = P(S) = 1 ⇒ P(A’) = 1 − P(A).

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