2) A die is rolled two times and the numbers shown are added to each other's. Find the probability that the product of the two numbers is greater than 12.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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2) A die is rolled two times and the numbers shown are added to each other's. Find the
probability that the product of the two numbers is greater than 12.
3) An experiment has a sample space with equally likely elements S = {a1, a2, a3, ..., a10}.
Three
defined
as A = {a1, a5}, B = {a1, a2, a6},
C = {a6}.
events
are
Find P [(A U B) U C).
4) A binary channel with a source that produces two values A and B, with P[A]= 0.2. If an
observer observed that 0.8 of the received values at the output are A. What is the probability
that the channel will flip A to B? (Hint: The channel in presumed to affect A and B in the
same manner).
SOLVE ALL
Transcribed Image Text:2) A die is rolled two times and the numbers shown are added to each other's. Find the probability that the product of the two numbers is greater than 12. 3) An experiment has a sample space with equally likely elements S = {a1, a2, a3, ..., a10}. Three defined as A = {a1, a5}, B = {a1, a2, a6}, C = {a6}. events are Find P [(A U B) U C). 4) A binary channel with a source that produces two values A and B, with P[A]= 0.2. If an observer observed that 0.8 of the received values at the output are A. What is the probability that the channel will flip A to B? (Hint: The channel in presumed to affect A and B in the same manner). SOLVE ALL
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