Independent Events
Events can be said to be independent if the occurrence or non-occurrence of one event does not influence the occurrence or non-occurrence of the other.
Example : When a coin is tossed twice, the event of getting Tail(T) in the first toss and the event of getting Tail(T) in the second toss are independent events. This is because the occurrence of getting Tail(T) in any toss does not influence the occurrence of getting Tail(T) in the other toss.
Simple Events
In the case of simple events, we take the probability of occurrence of single events.
Examples
Probability of getting a Head (H) when a coin is tossed
Probability of getting 1 when a die is thrown
Compound Events
In the case of compound events, we take the probability of joint occurrence of two or more events.
Examples
When two coins are tossed, probability of getting a Head (H) in the first toss and getting a Tail (T) in the second toss.
Exhaustive Events
Exhaustive Event is the total number of all possible outcomes of an experiment.
Examples
When a coin is tossed, we get either Head or Tail. Hence there are 2 exhaustive events.
When two coins are tossed, the possible outcomes are (H, H), (H, T), (T, H), (T, T). Hence there are 4 (=22) exhaustive events.
When a dice is thrown, we get 1 or 2 or 3 or 4 or 5 or 6. Hence there are 6 exhaustive events.
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