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Match List-I with List-IIList IList IIA. Joint occurrence of Events I. Collective Exhaustive EventsB. Outcome of an experiment consisting of all possi
Question



Match List-I with List-II

List I
List II
A. Joint occurrence of Events
I. Collective Exhaustive Events
B. Outcome of an experiment consisting of all possible events
II. Equally likely Events
C. One of the events cannot be expected to occur in preference over the other
III. Compound Event
D. The occurrence of one event implies that the other cannot occur
IV. Mutually Exclusive Events

Choose the correct answer from the options given below:

A.

A-III, B-I, C-II, D-IV

B.

A-IV, B-II, C-I, D-III

C.

A-III, B-II, C-I, D-IV

D.

A-I, B-II, C-III, D-IV

Correct option is A

The correct matches between List I (Events) and List II (Descriptions) are:
· Joint occurrence of Events (A-III): Refers to a Compound Event, which is the combination of two or more events happening together. For example, rolling a die and getting an even number and a multiple of 3.
· Outcome of an experiment consisting of all possible events (B-I): Refers to Collective Exhaustive Events, where all possible outcomes of an experiment are considered. For example, the outcomes of rolling a die include 1, 2, 3, 4, 5, and 6.
· One of the events cannot be expected to occur in preference over the other (C-II): Refers to Equally Likely Events, where each event has an equal probability of occurring. For example, flipping a coin and getting heads or tails.
· The occurrence of one event implies that the other cannot occur (D-IV): Refers to Mutually Exclusive Events, where the occurrence of one event excludes the possibility of the other. For example, in a single toss of a coin, getting heads and tails are mutually exclusive.
Information Booster
· Compound Event (A-III): A compound event is formed by combining two or more simple events. These can be independent or dependent events. For example, drawing two cards from a deck and getting one red and one black card.
· Collective Exhaustive Events (B-I): These events collectively cover all possible outcomes of an experiment, ensuring no outcome is left out. For example, in a die roll, the events {1, 2, 3, 4, 5, 6} form a collectively exhaustive set.
· Equally Likely Events (C-II): These are events with identical probabilities. For example, in a fair dice roll, each number from 1 to 6 is equally likely, with a probability of 1/6.
· Mutually Exclusive Events (D-IV): If two events cannot occur simultaneously, they are mutually exclusive. For instance, a person cannot be in two different places at the same time.

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