**Explanation:**

When the probabilities of two events, A and B, are equal (i.e., P(A) = P(B)), it means that the likelihood of both events occurring is the same. In this case, the correct answer is option 'C': the two events, A and B, are equally likely.

To understand why this is the correct answer, let's consider the definitions of the terms:

- **Independent events:** Two events, A and B, are independent if the occurrence of one event does not affect the probability of the other event occurring. In other words, the probability of event B occurring remains the same regardless of whether event A has occurred or not.

- **Dependent events:** Two events, A and B, are dependent if the occurrence of one event affects the probability of the other event occurring. In this case, the probability of event B occurring changes depending on whether event A has occurred or not.

- **Equally likely events:** Two events, A and B, are equally likely if they have the same probability of occurring. This means that the likelihood of event A occurring is the same as the likelihood of event B occurring.

Now, let's consider the given information: P(A) = P(B).

Since the probabilities of both events are equal, it means that the likelihood of event A occurring is the same as the likelihood of event B occurring. Therefore, the two events are equally likely.

To further illustrate this concept, let's consider an example:

Suppose event A represents flipping a fair coin and event B represents rolling a fair six-sided die. The probability of getting heads on the coin flip is 1/2, and the probability of rolling a specific number on the die is 1/6. In this case, P(A) = P(B) = 1/2 = 1/6.

Since the probabilities of both events are equal, it means that the likelihood of getting heads on the coin flip is the same as the likelihood of rolling a specific number on the die. Therefore, the two events are equally likely.

In conclusion, when P(A) = P(B), the two events, A and B, are equally likely.

When probability of 2 events are equal then it is called equally likely events.
ex.P(A)=P(B)=1/2