In statistics, a dependent event refers to a situation in which two events are defined, such that one event affects or impacts the probability of the other event. Therefore, a dependent event is precisely an event that depends on another event happening first to the second event to take place ( Peck, Olsen & Devore, 2015). In probability, dependent events are not significantly different from the dependent events witnessed in daily life activities. For instance, if someone wants to attend a concert, it might be influenced or depend on whether they have overtime at their workplaces or whether they have free time. If someone wants to visit their families out of the country in the upcoming festive season or month, it will depend on whether they can finally get a passport timely ( Peck, Olsen & Devore, 2015). When two events depend on each other, dependent, the first event's occurrence ultimately impacts the probability of the second event taking place.
On the other hand, independent events can be defined as events with no connection or correlation to another event's probability of occurring or not occurring ( Peck, Olsen & Devore, 2015). The event bears zero impacts on the probability of other events taking place. Independent events are abundant in real-life situations ( Peck, Olsen & Devore, 2015). For instance, a person’s place of work bears no impact on the colour of their automobiles. Purchasing lottery tickets has zero impacts on fathering or mothering a child with blue eyes ( Peck, Olsen & Devore, 2015). Other examples of independent events include growing herbs in the garden while petting dog, owning a Cadillac or Bentley and paying one's mortgage early, arriving home early, and finding one's favourite movie running on the cable, winning the lottery, and running out of food supplies among many others.
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Additional Relevant Examples
In which category can the following example events be categorized into?
Failing to pay power bills and getting a power cut off in the house
Not getting paid at the end of the month, purchasing an umbrella.
References
Peck, R., Olsen, C., & Devore, J. L. (2015). Introduction to Statistics and Data Analysis . Mason, OH: Cengage.