RS Aggarwal Chapter 19 Class 9 Maths Exercise 19.1 Solutions gives students information on how to deal with probability related questions. Sambhavna RS Agarwal is an important chapter in Class 9 Maths Solutions which increases in complexity as you come to higher classes and always get questions on this subject in CBSE or entrance exam. You may find it a bit difficult to explore some possible concepts. Therefore, it is sometimes mandatory to get help to understand the basic principles and to build a solid foundation in the subject.
This chapter begins with a brief history of probability with some keywords and formulas used in probability. You can also practice some tasks related to probability and learn about their consequences. This chapter has 1 practice with a total of 18 questions which are a combination of short answers and fill in the blank type of questions that give you enough exposure and practice for any type of question that you need to solve in the exam. Can.
This chapter is a single exercise with 18 questions. These questions will help you refine your expertise in finding the probability of occurrences based on a toss, dice toss, and frequency distribution of one or more coins.
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Important Definition for RS Aggarwal Chapter 19 Class 9 Maths Exercise 19.1 Solutions
- Some common objects used in RS Aggarwal Chapter 19 Class 9 Maths Exercise 19.1 Solutions –
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- Coin – A coin has 2 faces, head, and tail.
- Dice or Die – A dice is a cube having 6 faces with 6 different numbers on it (1 – 6)
- Cards – A deck of cards has 52 cards with 26 red and 26 black coloured ones. It has 4 suits with 13 cards in each suit, clubs, diamonds, hearts, and spades. The 13 cards range from A – 10, Joker, King, and Queen.
- Experiment – Any action which results in 2 or more outcomes is termed as an experiment. An experiment can be repeated an infinite number of times.
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E.g. Tossing a coin has 2 possible outcomes, head or tail; picking a card from a deck of cards has 52 possible outcomes.
- Sample Space – A set comprising of all possible outcomes of an event is termed as sample space. A single element of sample space is called a point.
E.g. – When you toss a coin, sample space ahs 2 points namely (H) or (T) which stand for heads or tails respectively.
- Event – Event is a subset of sample space. E.g: If we throw a dice, its sample space would be S = {1, 2, 3, 4, 5, 6} and an event can be anything that belongs to S, so {1, 2, 5) or {3, 2, 6} are all events.
- A null set Φ and whole sample S itself are events. A null set is an impossible event.
- Probability – The likelihood of an event to occur, when measured numerically, is called its probability. It is not a definite occurrence but predicts how much the chance of that event to occur is. It has a range from 0 – 1, 0 means no probability and 1 means 100% chance.
P (E) = number of trials in which an event happened / n
Here P (E) – the empirical probability of an event happening
n – Total number of trials.
- Favourable event – In a trial when the expected event happens it is called a favourable event.
- Unfavourable event– When the expected event does not occur, it is called an unfavourable event.
- The sum of all favourable and unfavourable events is the well-defined set of outcomes
- If in a sample space S, an event has n number of favourable outcomes then it has S – n number of unfavourable outcomes.
- The probability of a favourable or unfavourable event depends on the number of trials and the sum of these probabilities is always 1 i.e.
Probability of the occurrence of an event + Probability of the non-occurrence of that event = 1.
- Complimentary event – If an event E1 occurs only if event E does not occur then E1 is called the complementary event of E. It has a notation (not E)
P(E) + P(not E) = 1
where 0 <= P(E) <= 1
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