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Understanding Independent and Dependent Events in Probability with Examples

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Added on  2019-10-18

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This text is a discussion about independent and dependent events in probability. Independent events do not affect each other, while dependent events do affect each other's probability. The text provides examples of both types of events and includes two example problems for the reader to classify as independent or dependent events. There are also two replies to the post, one by Nikolay Borokhov and another by Brandon Allison, both discussing the concepts of independent and dependent events with examples.

Understanding Independent and Dependent Events in Probability with Examples

   Added on 2019-10-18

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Reply to this post:Nikolay Borokhov posted Apr 13, 2017 6:53 PMIndependent events in statistics are the events that do not affect each other (Wyzant, 2017). For example, tossing a coin and throwing a dice. Probability of rolling a 2 on a dice is not affected by whether the coin lands on tails or heads, thus the two events are independent of each other, because their probabilities are not affected by each other's outcomes.Depended events however do affect each other’s probability. For example, picking a queen out of a deck of cards twice. Let’s say the first card drawn is a queen. That probability is 4/52 = 1/13 or 7.69%. However, since the deck now has only 3 queens left the probability of drawing the second queen drops lower to 3/51=1/17 or 5.88%. This means that the first event reduced the probability of the second event and thus the two event's probabilities are depended on each other outcomes.Example Problems:1.) There are 10 males and 10 females in a classroom. We are randomly choosing 1 student at a time and moving them to a different room. Performing this event 3 times would classify it as independent or dependent event?2.) Drawing one card from a standard deck, then putting it back into the deck. Repeating this event 3 times would classify it as independent or dependent event?References:Wyzant.(2017). Further Concepts in Probability. Retrieved from https://www.wyzant.com/resources/lessons/math/statistics_and_probability/probability/further_concepts_in_probability
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