They are "events that have the same probability". Nothing more, nothing less.
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equiprobable events.
Yes, it is possible for two dependent events to have the same probability of occurring. The probability of an event is dependent on the outcomes of other events, and it is influenced by the relationship between these events. So, it is conceivable for two dependent events to have equal probabilities.
No, the combined probability is the product of the probability of their separate occurrances.
Nothing more significant than equally likely events.
The two events have the same probability of happening.