events

An event is the outcome or a combination of outcomes of an experiment. In other words, an event is a subset of the sample space. Whenever an outcome satisfies the conditions, given in the event, we say that the event has occurred . The Ty..

An event is the outcome or a combination of outcomes of an experiment. In other words, an event is a subset of the sample space. e.g., {a head} in the experiment of tossing a coin is an event. {a sum equal to 6} in the experiment of throwing a pair of dice is an event...

Suppose we throw a die. Let E be the event of a perfect square number. Then E = {1,4}. Suppose 3 appeared on the upper most face, then we say that the event E has not occurred. E occurs only when 1 or 4 appears on the upper most face. Therefore whenever an outcome satisfies the..

So far, we have introduced the sample of an experiment and used it to describe events. In this section, we introduce probabilities associated to the events. If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurr..

If a trial results in n-exhaustive, mutually exclusive and equally likely cases and m of them are favourable to the occurrence of an event A, then the probability of the happening of A, denoted by P(A), is given by: P(A) = m/n. Important terms are 1. Statistical or Empirical Probab..

For a random experiment, let E 1 , E 2 , E 3 ,.. E n be the subsets of the sample space S. E 1 , E 2 , E 3 , E n form a set of Exhaustive events if A set of events E 1 , E 2 , E 3 , . E n of S are said to mutually exclusive and exhaustive events if ..

An event A is a certain event. What is its probability? => P(A) = 2 or P(A) = 0 or P(A) = 3 or P(A) = 1..

Which of the following is a mutually exclusive event? => A card selected from a deck will be either a queen or a red. or A card selected from a deck will be either a black or a king. or A card selected from a deck will be either an ace or a king. or A card selected from a deck will be eit..

Which of the following events are not mutually exclusive? => tossing a coin and rolling a number cube or rolling a 3 or 5 on a single roll of a number cube or drawing a 3 and a diamond from a standard deck of cards or rolling a number greater than 3 or a multiple of 3 when a pair of dice ..

Which of the following events are mutually exclusive? => Drawing a king and drawing an ace from a standard deck of cards or Drawing a spade and drawing a 2 from a standard deck of cards or Drawing a king and drawing a black from a standard deck of cards or Drawing a queen and drawing a re..