Mutually exclusive events in probability theory and statistics denote a situation where two events cannot occur at the same time. In other words, they are events with no overlap; the occurrence of one event excludes the possibility of the occurrence of the other event.

For example, when you toss a coin, the outcomes of getting a head (H) and getting a tail (T) are mutually exclusive. This is because when the coin is tossed, it can either land on 'heads' or 'tails', but not both at the same time.

Similarly, in a single draw from a deck of cards, drawing a 'heart' and drawing a 'club' are mutually exclusive events because a single card cannot be both a heart and a club.

In terms of probability, if A and B are mutually exclusive events, then the probability of either A or B occurring (denoted as P(A ∪ B)) is the sum of their individual probabilities. That is, P(A ∪ B) = P(A) + P(B).

This is because the intersection of A and B (the event that both A and B occur, denoted as P(A ∩ B)) is zero for mutually exclusive events. That is, P(A ∩ B) = 0.

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Mutually exclusive events in probability theory and statistics denote a situation where two events cannot occur at the same time. In other words, they are events with no overlap; the occurrence of one event excludes the possibility of the occurrence of the other event.

For example, when you toss a coin, the outcomes of getting a head (H) and getting a tail (T) are mutually exclusive. This is because when the coin is tossed, it can either land on 'heads' or 'tails', but not both at the same time.

Similarly, in a single draw from a deck of cards, drawing a 'heart' and drawing a 'club' are mutually exclusive events because a single card cannot be both a heart and a club.

In terms of probability, if A and B are mutually exclusive events, then the probability of either A or B occurring (denoted as P(A ∪ B)) is the sum of their individual probabilities. That is, P(A ∪ B) = P(A) + P(B).

This is because the intersection of A and B (the event that both A and B occur, denoted as P(A ∩ B)) is zero for mutually exclusive events. That is, P(A ∩ B) = 0.

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Mutually exclusive events in probability theory and statistics denote a situation where two events cannot occur at the same time. In other words, they are events with no overlap; the occurrence of one event excludes the possibility of the occurrence of the other event.

For example, when you toss a coin, the outcomes of getting a head (H) and getting a tail (T) are mutually exclusive. This is because when the coin is tossed, it can either land on 'heads' or 'tails', but not both at the same time.

Similarly, in a single draw from a deck of cards, drawing a 'heart' and drawing a 'club' are mutually exclusive events because a single card cannot be both a heart and a club.

In terms of probability, if A and B are mutually exclusive events, then the probability of either A or B occurring (denoted as P(A ∪ B)) is the sum of their individual probabilities. That is, P(A ∪ B) = P(A) + P(B).

This is because the intersection of A and B (the event that both A and B occur, denoted as P(A ∩ B)) is zero for mutually exclusive events. That is, P(A ∩ B) = 0.

Mutually exclusive events means:

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