Let S = {a, b, c, d, e, f} with P(b) = 0.13, P(c) = 0.19, P(d) = 0.3, P(e) = 0.12, and P(f) = 0.15. Let E = {a, c, d} and F = {a, c, d, e}. Find P(a), P(E), and P(F).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let S = {a, b, c, d, e, f} with P(b) = 0.13, P(c) = 0.19, P(d) = 0.3, P(e) = 0.12, and P(f) = 0.15. Let E = {a, c, d} and F = {a, c, d, e}. Find P(a), P(E), and P(F).

Expert Solution
Step 1

P(a)

= 1 - {P(b)+P(c)+P(d)+P(e)+P(f)}

= 1 - (0.13+0.19+0.3+0.12+0.15)

= 1 - 0.89

= 0.11

So, P(a) = 0.11

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