State with evidence, whether each of the following statements is true or false al events A and B are mutually exclusive,

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State With Evidence Whether Each Of The Following Statements Is True Or False Al Events A And B Are Mutually Exclusive 1 (34.33 KiB) Viewed 78 times

State with evidence, whether each of the following statements is true or false al events A and B are mutually exclusive, then the conditional probability of Agiven B is equal to the probability that event A occurs times the probability that event Boccurs bevents A and B are independent, then the conditional probability of Agen Bis equal to the probability that event A occurs times the probability that event B occurs The conditionat probability of Agen B is equal to the probability of event A if events and B ata independent d. When two events are independent, the probability of both occurring is the sum of the probabilities of the individual events occurring Choose the correct answer below OA. The statement is false because by definition, the conditional probability of Agwen B is not equal to the product of the individual probabilities for any pair of events, therefore, it is not equal to the product of the individual probabilities for mutually exclusive events either OB. The statement is true because for mutually exclusive events, the conditional probability of Agwen is equal to the product of joint probability and the probability of event for the same events, the joint probability equals the probability of A Hence for mutually exclusive events, the conditional probability of Agen Bis equal to the product of individual probabilities of A and B OC. The statement is false because for mutually exclusive events, the conditional probability of Agiven Bis equal to the sum of the probability of event A and the probability of event B OD. The statement is true because for mutually exclusive events, the conditional probability of Agiven B is equal to the joint probability, which in turn, equals the product of the individual probabilities of A and B