RS Aggarwal Chapter 15 Class 10 Maths Exercise 15.3 Solutions: “Probability” should be consulted whenever you have questions in the chapter. This chapter provides a good basic understanding of probability and presents more complex questions on it. In this chapter of RS Aggarwal Class 10 Maths Chapter 15, you will study various terms and formulas related to probability, such as random experiments and possible outcomes, events, sampling, space, fundamentals of probability and its properties, safe and impossible events, And complementary events.
RS Aggarwal Chapter 15 Class 10 Maths Exercise 15.3 Solutions involves multiple-choice questions in which you have to choose a correct answer from the given alternatives. The chapter has a total of 37 questions testing all concepts of probability with formulas learned, definitions.
Download RS Aggarwal Chapter 15 Class 10 Maths Exercise 15.3 Solutions
Important Definition for RS Aggarwal Chapter 15 Class 10 Maths Ex 15c Solutions
One must understand the following to master probability sums:
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- In any experiment what is the total number of possible outcomes
- In any experiment what is the total number of favourable events
- Event – Understanding what events are and different kinds of events are important to solve the problems. Any experiment results in events. An event can be described as a subset of sample space. For example, sample space of throwing a dice would be S = {1, 2, 3, 4, 5, 6} and an event is a subset of this S, so {1, 2, 3) or {4, 5, 6} are all events.
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- Favourable event – If the event we expect happens in a trial then that’s a favourable event.
- Unfavourable event– When the event we expect does not occur in a trial, it is called an unfavourable event.
- The sum of all favourable and unfavourable events is the well-defined set of outcomes
- It can be concluded that if in a sample space S, there are n favourable events then there are S – n number of unfavourable outcomes.
- The number of trials determines the probability of a favourable or unfavourable event. 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.
- Impossible event – An event that will never occur in any trial is an impossible event. It is denoted by a nullset (Φ). For example, when you throw a die, the occurrence of number 7 is an impossible event since a die has only numbered 1-6 on its sides.
- Sure event– If the probability of an event in a trial is 1 then it is a sure event. For example, when you throw a die, the probability of getting a number >=1 is 1, so it is a sure event.
- 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 E’ (not E)
P(E) + P(E’) = 1, where 0 <= P(E) <= 1
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- Equally likely events – If the probability of any event in a trial is 50% or ½, then that is an equally likely event. For example, when we toss an unbiased coin, the probability of getting ahead is ½.
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