Chapter 12: Q.AP4.2 - Cumulative AP Practise Test (page 827)

If P(A)=0.24and P(B)=0.52and events Aand Bare independent, what is P(Aor B)?

а. 0.1248

b. 0.28

c. 0.6352

d.0.76

e. The answer cannot be determined from the given information.

Short Answer

Expert verified

Correct option is

c.0.6352

Step by step solution

01

Given information

Given in the question that, We need to find P(Aor B) if role="math" localid="1654186447547" P(A)=0.24and role="math" localid="1654186458189" P(B)=0.52and events Aand Bare independent.

02

Explanation

This is a given,

P(A)=0.24

P(B)=0.52

As a result, for independent events, use the multiplication rule:

P(AandB)=P(A)×P(B)

=0.24×0.52

=0.1248

Now that we've got that,

P(AorB)=P(A)+P(B)-P(AandB)

=0.24+0.52-0.1248

=0.6352

As a result, option (c) is the proper choice.

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