equiprobable events.
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Two events that cannot occur at the same time are called mutually exclusive. If two events are mutually exclusive what is the probability that both occur.
Nothing more significant than equally likely events.
They are "events that have the same probability". Nothing more, nothing less.
That's the probability that both events will happen, possibly even at the same time. I think it's called the 'joint' probability.
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.