Answer: The correct option is
(D) The probability that you win the second race given that you win the first race.
Step-by-step explanation: We are given the following two events :
A : You win the first race
B : You win the second race.
We are given to select the statement that represents P(B\A).
We know that
for any two events R and Q, the probability P(Q\R) represents the probability of happening of event Q given that the event R has already happened.
Therefore, for the given two events A and B,
the probability P(B\A) represents the probability that you win the second race given that you win the first race.
Thus, (D) is the correct option.
