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When two events are disjoint they are also independent?
When two events are disjoint (or mutually exclusive), it means that they cannot occur at the same time; if one event occurs, the other cannot. Consequently, disjoint events cannot be independent, because the occurrence of one event affects the probability of the other event occurring. In fact, for disjoint events, the probability of both events happening simultaneously is zero, which contradicts the definition of independence where the occurrence of one event does not influence the other. Therefore, disjoint events are not independent.
What does disjoint mean in probability?
In probability, "disjoint" refers to events that cannot occur simultaneously; if one event occurs, the other cannot. For example, if you roll a die, the outcomes of rolling a 2 and rolling a 5 are disjoint events because they cannot happen at the same time. The probability of either event occurring is the sum of their individual probabilities, as they have no overlap.
What is the probability of Aor B if and B are disjoint?
1
Its simple what are disjoint events?
Two events are disjoint if they cannot occur together. In set terms, their intersection is a null set.
Can independent events be disjoint?
No.
When two events are disjoint they are also independent?
When two events are disjoint (or mutually exclusive), it means that they cannot occur at the same time; if one event occurs, the other cannot. Consequently, disjoint events cannot be independent, because the occurrence of one event affects the probability of the other event occurring. In fact, for disjoint events, the probability of both events happening simultaneously is zero, which contradicts the definition of independence where the occurrence of one event does not influence the other. Therefore, disjoint events are not independent.
What does disjoint mean in probability?
In probability, "disjoint" refers to events that cannot occur simultaneously; if one event occurs, the other cannot. For example, if you roll a die, the outcomes of rolling a 2 and rolling a 5 are disjoint events because they cannot happen at the same time. The probability of either event occurring is the sum of their individual probabilities, as they have no overlap.
What is a disjoint events mean?
In probability theory, disjoint events are two (or more) events where more than one cannot occur in the same trial. It is possible that none of them occur in a particular trial.
Event A has probability 0.4 event B has probability 0.5 If A and B are disjoint then the probability that both events occur is?
If two events are disjoint, they cannot occur at the same time. For example, if you flip a coin, you cannot get heads AND tails. Since A and B are disjoint, P(A and B) = 0 If A and B were independent, then P(A and B) = 0.4*0.5=0.2. For example, the chances you throw a dice and it lands on 1 AND the chances you flip a coin and it land on heads. These events are independent...the outcome of one event does not affect the outcome of the other.
What is the probability of Aor B if and B are disjoint?
1
Addition rule for probability of events A and B?
If they're disjoint events: P(A and B) = P(A) + P(B) Generally: P(A and B) = P(A) + P(B) - P(A|B)
Its simple what are disjoint events?
Two events are disjoint if they cannot occur together. In set terms, their intersection is a null set.
Can independent events be disjoint?
No.
Are two disjoint events always complementary?
no
How do you find the probability of multiple events?
The answer depends on whether or not the events are independent.
How do you find the probability of two distincve events?
It depends on whether or not the events are independent.
How don you find the answers to simple independent events?
you find the probability
