1. P(~G) 2. P(~M) 3. P(G • ~G) 4. P(M V ~M)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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PART D: Various Compound Statements Assume that P(G) = 3/5,
P(M)
M are independent, and let T be the tautology “A → A". Determine the
following probabilities.
3/10, P(D) = 9/10, and P(G/M) = 9/10. Also assume that D and
%3D
%3D
->
1. P(~G)
9. P(D/M)
10. P[D → (G → D)]
11. P(M/D)
2. P(~M)
3. P(G • ~G)
4. P(M v ~M)
12. P(~D)
5. Р(T)
13. P(D • M)
6. P(~T)
7. P(M G)
14. P(D v M)
15. P[G → (M V G)]
8. P(M v G)
Transcribed Image Text:PART D: Various Compound Statements Assume that P(G) = 3/5, P(M) M are independent, and let T be the tautology “A → A". Determine the following probabilities. 3/10, P(D) = 9/10, and P(G/M) = 9/10. Also assume that D and %3D %3D -> 1. P(~G) 9. P(D/M) 10. P[D → (G → D)] 11. P(M/D) 2. P(~M) 3. P(G • ~G) 4. P(M v ~M) 12. P(~D) 5. Р(T) 13. P(D • M) 6. P(~T) 7. P(M G) 14. P(D v M) 15. P[G → (M V G)] 8. P(M v G)
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