Let S s 1 , s 2 , s 3 , s 4 , s 5 , s 6 be the sample space associated with an experiment having the following partial probability distribution Outcome s 1 s 2 s 3 s 4 s 5 s 6 Probability 2 19 4 19 4 19 2 19 1 19 Consider the events A s 1 , s 2 , s 5 B s 3 , s 5 , s 6 C s 1 , s 3 , s 4 , s 6 D s 1 , s 2 , s 3 Calculate the following probabilities (Enter your answers as fractions ) (a) P( s 2 ) (b) P( D ) (c) P( B C ) (d) P( A C B ) (e) P( C C D )

Question: Let S = { s 1 , s 2 , s 3 , s 4 , s 5 , s 6 } be the sample

Let S = {s₁, s₂, s₃, s₄, s₅, s₆} be the sample space associated with an experiment having the following partial probability distribution.

Outcome

s₁

s₂

s₃

s₄

s₅

s₆

Probability

Consider the events:
A = {s₁, s₂, s₅}
B = {s₃, s₅, s₆}
C = {s₁, s₃, s₄, s₆}
D = {s₁, s₂, s₃}

Calculate the following probabilities. (Enter your answers as fractions.)

(a) P(s₂)=

(b) P(D)=

(c) P(B^C)=

(d) P(A^C∩ B) =

(e) P(C^C∪ D) =

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