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Chapter 5: Q 1.2. Intercepts; Symmetry; Graphing Key Equations (page 303)

Say in plain language what the event“AorB”is.WhatisP(AorB)?

Short Answer

Expert verified

PAorB=PA+PBoccurrence and probability.

Step by step solution

01

Step 1. Given Information 

P (A or B) = P (A ∪ B)

P (A or B) = P (A) + P (B)

02

Step 2. Concept Used   

Definition of the probability addition theorem: Assume Aand Bare two events in a random experiment, and you want to know whether Aor Bhas a higher likelihood. Then apply the probability addition theorem.

03

Step 3. Calculation    

Assume that A and B are two random events in a random experiment. utilise the probability addition theorem That's P(AorB)=P(A∪B)P(AorB)=P(A)+P(B)−P(A∩B)for you.

If the occurrences Aand Bare mutually exclusive.

Then P(A∩B)=0P(AorB)=P(A)+P(B)

As a result, the event and the likelihood ofPAorB=PA+PB

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