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Chapter 3: Q. 119 (page 231)

Given eventsGandH:P(G)=0.43;P(H)=0.26;P(HANDG)=0.14

a. Find localid="1649534354823" P(HORG).

b. Find the probability of the complement of event localid="1649534359655" (HANDG).

c. Find the probability of the complement of event localid="1649534364595" (HORG).

Short Answer

Expert verified

a. Probability of (HORG)islocalid="1649535670685" 0.55

b. Probability with complement of (HANDG)islocalid="1649535491485" 0.86.

c. Probability with complement of (HORG)islocalid="1649535679583" 0.45.

Step by step solution

01

Calculation forP(H or G) (part a)

a.

Probability of,

P(HORG)=P(H)+P(G)-P(HANDG)

=0.26+0.43-0.14

=0.69-0.14

role="math" localid="1649534782986" P(HORG)=0.55

02

Calculation forP(H AND G)'(part b)

b.

Probability of ,

P(HANDG)'=1-P(HANDG)

role="math" =1-0.14

=0.86

03

Calculation forP(H OR G)' (part c)

c.

Probability of,

P(HORG)'=1-P(HORG)

=1-0.55

=0.45

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