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Chapter 3: Q.41 (page 217)

J and K are independent events. P(J|K) = 0.3. Find P(J).

Short Answer

Expert verified

P(J)=0.3as J and K are independent events.

Step by step solution

01

Content Introduction

Two events are deemed independent if knowledge of one event has no effect on the event of the other. Independent events are ones whose occurrence is not contingent on the occurrence of another event.

02

Content Explanation

A and B are said to be independent event, if any of the following condition is true:

1.P(A|B)=P(A)2.P(B|A)=P(B)3.P(AandB)=P(A)脳P(B)

In the question it is given J and K are independent events and P(J|K)=0.3, it satisfies the condition (1), therefore, we can calculate as follow:

P(J)=P(J|K)=0.3

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