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If the occurrence of one event means that another cannot happen, then the events areAnswer choicesSelect only one optionREVISITA) IndependentB) Mutually ExclusiveC) BayesianD) Empirical1/10 questions attempted

Question

If the occurrence of one event means that another cannot happen, then the events areAnswer choicesSelect only one optionREVISITA) IndependentB) Mutually ExclusiveC) BayesianD) Empirical1/10 questions attempted

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Solution

The correct answer is B) Mutually Exclusive.

Mutually exclusive events are events that cannot happen at the same time. In other words, the occurrence of one event excludes the occurrence of the other. For example, when you toss a coin, the result can either be heads or tails but not both. These are mutually exclusive events.

Similar Questions

Two events A and B are said to mutually exclusive if:Group of answer choicesP(B| A) =1.P(A ∩ B) =1.P(A ∩ B) = 0.P(A| B) = 1.

1. Two events are considered independent if: a) The occurrence of one event affects the occurrence of the other event. b) The occurrence of one event does not affect the occurrence of the other event. c) The occurrence of one event guarantees the occurrence of the other event. d) The occurrence of one event is impossible without the occurrence of the other event. 2. The formula for calculating the probability of independent events is: a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 3. If A and B are independent events, what is the probability of both events occurring? a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 4. Two events are considered dependent if: a) The occurrence of one event does not affect the occurrence of the other event. b) The occurrence of one event affects the occurrence of the other event. c) The occurrence of one event guarantees the occurrence of the other event. d) The occurrence of one event is impossible without the occurrence of the other event. 5. The formula for calculating the probability of dependent events is: a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 6. If A and B are dependent events, and A occurs first, what is the probability of both events occurring? a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 7. In the multiplication rule of probability for independent events, what is the relationship between P(A) and P(B)? a) P(A) = P(B) b) P(A) ≠ P(B) c) P(A) > P(B) d) P(A) < P(B) 8. In the multiplication rule of probability for dependent events, what is the relationship between P(A) and P(B|A)? a) P(A) = P(B|A) b) P(A) ≠ P(B|A) c) P(A) > P(B|A) d) P(A) < P(B|A) 9. If two events are independent, what is the probability of both events not occurring? a) P(A') * P(B') b) 1 - (P(A) * P(B)) c) P(A') + P(B') d) 1 - (P(A) + P(B)) 10. If two events are dependent, what is the probability of both events not occurring? a) P(A') * P(B') b) 1 - (P(A) * P(B)) c) P(A') + P(B') d) 1 - (P(A) + P(B))

1. The probability of event equal to zero is called;(a) Unsure event(b) Sure Event(c) Impossible event(d) Independent even

An event in the probability that will never be happened is called as:Question 2Select one:a.Unsure eventb.Impossible eventc.Sure eventd.Possible event

If the probability of an event is equal to .2 , What must be true about the event?Group of answer choicesThe event is probable but not certain.The event is certain.The event is impossible.The probability of the event happening and the probability of the event not happening are the same.The event is unlikely but not impossible.

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