A probability experiment is conducted in which the sample space of the experiment is (S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15). Let event A = {4,5,6,7) and event B={10, 11, 12). Assume that each outcome is equally likely. List the outcomes in AUB and find P(AUB). A. (5, 6, 7, 8, 10, 11) P(AUB) - B. (4, 5, 6, 7, 10, 11, 12) P(AUB)=13 C. (7,8) P(AUB) - D. (5, 6, 7, 8, 9, 9, 10, 11) P(AUB) =

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A probability experiment is conducted in which the sample space of the experiment is \( S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}\). Let event A = {4,5,6,7} and event B = {10, 11, 12}. Assume that each outcome is equally likely. List the outcomes
in AUB and find P(AUB).
A. {5, 6, 7, 8, 10, 11}
P(AUB) = ²/
B. {4, 5, 6, 7, 10, 11, 12}
P(AUB) =
=
C. {7,8}
7
15
2
P(AUB) = 15
D. {5, 6, 7, 8, 9, 9, 10, 11}
P(AUB) =
3³³
Transcribed Image Text:A probability experiment is conducted in which the sample space of the experiment is \( S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15\}\). Let event A = {4,5,6,7} and event B = {10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in AUB and find P(AUB). A. {5, 6, 7, 8, 10, 11} P(AUB) = ²/ B. {4, 5, 6, 7, 10, 11, 12} P(AUB) = = C. {7,8} 7 15 2 P(AUB) = 15 D. {5, 6, 7, 8, 9, 9, 10, 11} P(AUB) = 3³³
Expert Solution
Step 1

Given that 

S=(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)

A= (4,5,6,7) and B= (10, 11, 12)

n(S)=15, n(A)=4, n(B)=3

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