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A fair coin is flipped twice. H is recorded for heads and T for tails after each flip. Let Event A be heads on the first attempt and Event B be heads on the second attempt.

Which statement about the conditional probability is true?

Choices

The conditional probability of Event B given Event A is P(B|A)=P(B) when two events are not independent.

The conditional probability of Event B given Event A is P(B|A)=P(B)/P(A) when two events are independent.

The conditional probability of Event B given Event A is P(B|A)=P(A and B)/P(A) when two events are not independent.

The conditional probability of Event B given Event A is P(B|A)=P(A)/P(B) when two events are independent.

 

A random number generator that returns an integer is run twice. The notation for conditional probability is P(even on 2nd run|odd on 1st run) .

Which notation is the probability of the two events being not independent?

Choices

​ P(even on 2nd run|odd on 1st run)=P(even on 2nd run) ​

​ ​P(even on 2nd run|odd on 1st run)=P(odd on 1st run and even on 2nd run)/P(odd on 1st run) ​ ​

​ P(even on 2nd run|odd on 1st run)=P(odd on 1st run)/P(even on 2nd run) ​

​ ​P(even on 2nd run|odd on 1st run)=P(even on 2nd run)/P(odd on 1st run) ​​

 

A random number generator that returns an integer is run twice. The notation for conditional probability is ​ P(even on 2nd run|odd on 1st run) ​.

Which notation is the probability of the two events being independent?

Choices

​ ​P(even on 2nd run|odd on 1st run)=P(even on 2nd run)/P(odd on 1st run) ​​

​ P(even on 2nd run|odd on 1st run)=P(odd on 1st run)/P(even on 2nd run) ​

​ P(even on 2nd run|odd on 1st run)=P(even on 2nd run) ​

​ ​P(even on 2nd run|odd on 1st run)=P(odd on 1st run and even on 2nd run)/P(odd on 1st run) ​​

 
 Dec 18, 2018
edited by awsometrunt14  Dec 18, 2018
edited by awsometrunt14  Dec 18, 2018

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