Equally likely events are events that have the same theoretical probability (or likelihood) of occurring.

Each numeral on a die is equally likely to occur when the die is tossed.

Sample space of throwing a die: { 1, 2, 3, 4, 5, 6 }

From this we can make conclusions such as the following:

• Getting a 3 on the toss of a die and getting a 5 on the toss of a die are equally likely events, since the probabilities of each event are equal.
  
  
• Getting an even number on the toss of a die and getting an odd number on the toss of a die are equally likely events, since the probabilities of each event are equal.
  
  
• Getting a 1, 2 or 3 on the toss of a die and getting a 4, 5 or 6 on the toss of a die are equally likely events, since the probabilities of each event are equal.