# Probability-Laws of Total and Compound Probability (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 1 - 1 of 1

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## Question number: 1

» Probability » Laws of Total and Compound Probability

Appeared in Year: 2011

Essay Question▾

### Describe in Detail

Verify the following identities:

(i)

(ii)

### Explanation

Let A and B are two possible events in the sample space.

(i) Additive law of probability is

{Commutative property }

We know that

This shows that

(ii) This also show by additive law of probability

Let assume BUC = D, then

Putting the