9. Let S = {E₁,..., E8}. The probability of occurring for each outcome is given in the following table: Outcome E₁ E₂ E3 E4 E5 E6 E₂ Es P(E₁) 1/16 1/16 1/16 1/16 2/16 2/16 2/16 2/16 Consider the following events A={E₁, E2, E3}, B={ E3, E4, E5}, C={ E₁, E2, E4 ,E6, Es, } and D={ E7, Eg} Calculate the following probabilities: a) P(A); P(C); P(D); b) P(An D); P(AUB); c) P(A); P(Aºn Bc); P(AUB)

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9. Let S = {E₁, ... , E8}. The probability of occurring for each outcome is given in the following
table:
Outcome E₁ E₂
E3 E4 E5 E6 E7 Eg
1/16 1/16 1/16 1/16 2/16 2/16 2/162/16
P(E₁)
Consider the following events
A={ E₁, E2, E3}, B={ E3, E4, E5}, C={ E₁, E2, E4 ,E6, Es, } and D={ E7, Es}
Calculate the following probabilities:
a) P(A); P(C); P(D);
b) P(An D); P(AUB);
c) P(A); P(Aºn Bc); P(AUB)
d) P(A/B) (Are A and B independent?)
||
Transcribed Image Text:9. Let S = {E₁, ... , E8}. The probability of occurring for each outcome is given in the following table: Outcome E₁ E₂ E3 E4 E5 E6 E7 Eg 1/16 1/16 1/16 1/16 2/16 2/16 2/162/16 P(E₁) Consider the following events A={ E₁, E2, E3}, B={ E3, E4, E5}, C={ E₁, E2, E4 ,E6, Es, } and D={ E7, Es} Calculate the following probabilities: a) P(A); P(C); P(D); b) P(An D); P(AUB); c) P(A); P(Aºn Bc); P(AUB) d) P(A/B) (Are A and B independent?) ||
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