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Mutually exclusive means they are independent of one another. So, the two events are independent of one another.
two events are mutually exclusive if they cannot occur at the same time. The classic example is a coin toss where you have either heads or tails, but there is NO WAY to have heads and tails at the same time. Heads and tails are mutually exclusive.
The probability is 0. Consider the event of tossing a coin . The possible events are occurrence of head and tail. they are mutually exclusive events. Hence the probability of getting both the head and tail in a single trial is 0.
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
Your groups should be mutually exclusive and collectively exhaustive.
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The opposite of mutually exclusive is collectively exhaustive, meaning that the options or events being considered cover all possible outcomes without any overlap.
Add the probabilities of the two events. If they're not mutually exclusive, then you need to subtract the probability that they both occur together.
Mutually exclusive means they are independent of one another. So, the two events are independent of one another.
Mutually exclusive. The two events can also be exhaustive if there is no other possibility. For example, if you believe in a state of spiritual limbo, then there is a third possible outcome. In that case death and life are no longer exhaustive.
The probability depends on the nature of the outcomes in the set: whether or not they are mutually exclusive, independent.
Yes. Any dichotomous event will do. Event 1: an integer is odd Event 2: an integer is even Or Male and Female (leaving out hermaphrodites!)
two events are mutually exclusive if they cannot occur at the same time. The classic example is a coin toss where you have either heads or tails, but there is NO WAY to have heads and tails at the same time. Heads and tails are mutually exclusive.
If A and B are mutually exclusive event then Probability of A or B is P(A)+P(B). If they are not mutually exclusive then it is that minus the probability of the P(A)+P(B) That is to say P( A or B)= P(A)+P(B)- P(A and B). Of course it is clear that if they are mutually exclusive, P(A and B)=0 and we have the first formula.
Yes.
The probability is 0. Consider the event of tossing a coin . The possible events are occurrence of head and tail. they are mutually exclusive events. Hence the probability of getting both the head and tail in a single trial is 0.