A number is randomly selected from S = {x: 20 < 2x < 200, x is an integer }. Let A: the event that the selected number is divisible by 2; B: the event that the selected number is divisible by 3; and C: the event that the selected number is divisible by 5. A. Interpret P[(B U C)|A]. B. Using the definition of conditional probability (Chapter II handout, page 131) and the fact that given three sets X1, X2, and X3, X1 N (X2 U X3) = (X1 N X2) U (X, n X3), find an expression for P[(B U C)|A] and use it to find P[(B U C)|A]. %3D
A number is randomly selected from S = {x: 20 < 2x < 200, x is an integer }. Let A: the event that the selected number is divisible by 2; B: the event that the selected number is divisible by 3; and C: the event that the selected number is divisible by 5. A. Interpret P[(B U C)|A]. B. Using the definition of conditional probability (Chapter II handout, page 131) and the fact that given three sets X1, X2, and X3, X1 N (X2 U X3) = (X1 N X2) U (X, n X3), find an expression for P[(B U C)|A] and use it to find P[(B U C)|A]. %3D
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Answer the following and show your solution.
![A number is randomly selected from S = {x: 20 < 2x < 200, x is an integer }. Let
A: the event that the selected number is divisible by 2;
B: the event that the selected number is divisible by 3; and
C: the event that the selected number is divisible by 5.
A. Interpret P[(B UC)|A].
B. Using the definition of conditional probability (Chapter II handout, page 131) and the
fact that given three sets X1, X2, and X3, X1 N (X2 U X3) = (X1 N X2) U (X1 n X3),
find an expression for P[(B U C)|A] and use it to find P[(B U C)|A].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba541c68-e096-4d43-9609-0fd5ded505f6%2F110c626b-279d-42f2-b542-e47673fe9f24%2Fiu5ewv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A number is randomly selected from S = {x: 20 < 2x < 200, x is an integer }. Let
A: the event that the selected number is divisible by 2;
B: the event that the selected number is divisible by 3; and
C: the event that the selected number is divisible by 5.
A. Interpret P[(B UC)|A].
B. Using the definition of conditional probability (Chapter II handout, page 131) and the
fact that given three sets X1, X2, and X3, X1 N (X2 U X3) = (X1 N X2) U (X1 n X3),
find an expression for P[(B U C)|A] and use it to find P[(B U C)|A].
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