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)