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If A∪B=S then set is said to be mutually exhaustive.
Consider the following statements: 1. If A and B are exhaustive events, then their union is the sample space. 2. If A and B are exhaustive events, then their intersection must be an empty event. Which of the above statements is / are correct?
In a competition A, B and C are participating. The probability that A wins is twice that of B, the probability that B wins is twice that of C. Then the probability that A loses is (A, B and C are mutually exclusive and exhaustive events)
A and B are two events. A and B are their complement events, respectively, such that AB and AB are two mutually exclusive and exhaustive events in which the event A can occur. Then which option is correct?
If A1, A2 . . . . . . . . An are 'n' mutually exclusive and exhaustive events and B is a common event, then Baye's theorem deals with
In a town fair 50 people were asked which dessert they liked: ice cream, Donuts, or cupcakes. 28 said they like ice cream, 26 said they like donuts, and 26 said they like cupcakes. 8 said they like all three. 17 said they like donuts and cupcakes, 11 said they like ice cream and cupcakes. 5 said they do not like any of these. Find those people who liked ice cream and donuts but not cupcakes.
In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even ifthey seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Empty set is a subset of any set.
(II) A set is a subset of power set. Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.
Type of distribution, which describes whether events to be occurred are mutually exclusive or collectively exhaustive can be classified as
For calculating posterior probabilities (conditional probabilities under statistical dependence), the following information is available  a) conditional probabilities  b) original probability estimates (prior probabilities) of mutually exclusive and collectively exhaustive events  c) Arbitrary event with probability
Consider the following statements in respect of class intervals of grouped frequency distribution: 1. Class intervals need not be mutually exclusive. 2. Class intervals should be exhaustive. 3. Class intervals need not be of equal width. Which of the above statements are correct?