Explanation:

Conditional probability is the probability of an event occurring given that another event has occurred. It is denoted by P(A/B), which means the probability of event A given that event B has occurred.

In this question, P(A/B) = P(A) which means that the occurrence of event B has no impact on the occurrence of event A. Hence, events A and B are independent of each other.

Definition of Independent Events:

Two events A and B are said to be independent if the occurrence of one event does not affect the occurrence of the other event. In other words, the probability of event A occurring is not affected by the occurrence of event B, and vice versa.

For independent events A and B, the conditional probability P(A/B) is equal to the probability of A, i.e., P(A/B) = P(A).

Examples of Independent Events:

1. Tossing a coin and rolling a dice are independent events as the outcome of one event does not affect the outcome of the other event.

2. Drawing a card from a deck of cards and rolling a dice are independent events as the probability of drawing a card is not affected by the outcome of the dice roll, and vice versa.

3. Choosing a red ball from a bag of red and green balls and choosing a green ball from the same bag are independent events as the probability of choosing a red ball is not affected by the outcome of choosing a green ball, and vice versa.

Conclusion:

In this question, the conditional probability P(A/B) = P(A) implies that events A and B are independent of each other.