Question

A soccer team has two games in two days against

different teams. Let A represent the event ""the
soccer team wins the first game"" and B represent
the event ""the soccer team wins the second
game.""
What is the meaning of P(BA)?

a) P(B|A) represents the probability that the soccer team wins the second game (B) given that they have already won the first game (A).
b) P(B|A) represents the probability that the soccer team wins the first game (A) given that they have already won the second game (B).
c) P(B|A) represents the probability that the soccer team wins both games consecutively.
d) P(B|A) represents the probability that the soccer team loses the second game after winning the first game.

Answer 1

P(B|A) represents the probability that the soccer team wins their second game given that they have won their first game.

Step-by-step explanation:

The expression P(B|A) represents the conditional probability of event B occurring given that event A has already occurred. In this specific context, where A represents the event that the soccer team wins the first game and B represents the event that the soccer team wins the second game, P(B|A) is the probability that the soccer team wins the second game given that they have already won the first game. Therefore, the correct interpretation of P(B|A) is 'the probability that the soccer team wins the second game (B) given that they have already won the first game (A)', which corresponds to option a).