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If two events are mutually exclusive and collectively exhaustive what is the probability that one or the other occurs?
Wiki User
∙ 14y ago
If A and B are mutually exclusive, P(A or B)=P(A) + P(B)
They both cannot occur together.
For example: A die is rolled. A = an odd number; B= number is divisible by 2.
P(A or B) = 1/3 + 1/3 = 2/3
Wiki User
∙ 14y ago
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If a set of events are collectively exhaustive and mutually exclusive what does the sum of the probabilities equal?
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In maths What is Mutually exclusive probability?
Mutually exclusive means they are independent of one another. So, the two events are independent of one another.
What is mutually exclusive in probability theory?
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 two events are mutually exclusive what is the probability that both occur at the same time?
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.
How can you find the probability of two mutually exclusive events?
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.
What is the rule for stratified sampling?
Your groups should be mutually exclusive and collectively exhaustive.
If a set of events are collectively exhaustive and mutually exclusive what does the sum of the probabilities equal?
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If two events are mutually exclusive what is the probability that one or the other occurs?
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.
In maths What is Mutually exclusive probability?
Mutually exclusive means they are independent of one another. So, the two events are independent of one another.
Term for two mutually exclusive words like death and life?
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.
What is the probability a set of outcomes?
The probability depends on the nature of the outcomes in the set: whether or not they are mutually exclusive, independent.
Can you have two mutually exclusive and two exhaustive events in one probability?
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!)
What is mutually exclusive in probability theory?
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.
What is the Formula for odds for either of two events?
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.
When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00?
Yes.
If two events are mutually exclusive what is the probability that both occur at the same time?
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.
How can you find the probability of two mutually exclusive events?
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.
