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List all events associated with the random experiment of tossing of two coins. How many of them are elementary events?

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To solve the problem of listing all events associated with the random experiment of tossing two coins and determining how many of them are elementary events, we can follow these steps: ### Step-by-Step Solution: 1. **Define the Random Experiment**: The random experiment we are considering is tossing two coins. 2. **Identify the Sample Space**: ...
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If E is any event associated with an experiment then.

Occurrence of an event an event associated to a random experiment is said to occur if any one of the elementary event associated to the event a is an outcome.

Compound event an event associated to a random experiment is a compound event if it is obtained by combining two or more elementary events associated to the random experiment.

Definition if there are n elementary events associated with a random experiment and m of them are favourable to an event A then the probability of happening or occurrence of event A is denoted by P(A) and is defined as the ratio (m)/(n) .

Read the following passage and answer the question The results of a random experiment is known as an outcome. The set of all possible outcomes of a random experiment is called the sample space. It is denoted by S. The outcomes satisfying particular condition are called favourable outcomes. A set of favourable outcomes is called an event. Event is a subset of the sample space. There are different types of events. (a) An event consisting of only one sample point is called an ememtntary event. (b) An event which does not contain any sample point is called an impossible event. How many outcomes are there in a random experiment of tossing two coins simultaneously? What are they ?

Three coins are tossed once. Describe the following events associated with this random experiment: A= Getting three heads, B= Getting two heads and one tail, C= Getting three tails D= Getting a head on the first coin. i. Which pairs of events are mutually exclusive? ii. Which events are elementary events? iii. Which events are compound events?

What is the total number of elementary events associated to the random experiment off throwing three dice together?

Negation of an event corresponding to every event A associated with a random experiment we define an event not A which occurs when and only when A does not occur.

Let E and F be two events associated with the same random experiment. Then E and F are said to be independent if P(E nn F) is equal to :

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. Two dice are thrown and the sum fo the numbers which come up on the...

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  2. A coin is tossed. Find the total number of elementary events and al...

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  3. List all events associated with the random experiment of tossing of...

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  4. Three coins are tossed once. Describe the following events associate...

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  5. In a single throw of a die describe the following events: A= Gettin...

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  6. In a single throw of a die describe the following events: B= Gettin...

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  7. In a single throw of a die describe the following events: C= Gettin...

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  8. In a single throw of a die describe the following events: D= Gettin...

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  9. In a single throw of a die describe the following events: ...

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  10. In a single throw of a die describe the following events: F= Gettin...

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  11. In a single throw of a die describe the following events: AuuB ,\ A...

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  12. Three coins are tossed. Describe (i) Two events which are mutually exc...

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  13. Find the probability of getting a head in a toss of an unbiased coi...

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  14. In a simultaneous toss of two coins, find the probability of gettin...

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  15. In a simultaneous toss of two coins, find the probability of gettin...

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  16. In a simultaneous toss of two coins, find the probability of getting...

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  17. In a simultaneous toss of two coins, find the probability of gettin...

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  18. In a simultaneous toss of two coins, find the probability of gettin...

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  19. A die is thrown. Find the probability of getting: an even number

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  20. A die is thrown. Find the probability of getting: a number greater ...

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