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.