Facts that Matter: Probability

# Facts that Matter: Probability | Mathematics (Maths) Class 10 PDF Download

Facts that Matter

• We know that experimental (or empirical) probabilities of events are based on the results of actual experiments.
• If we perform the same experiment for different number of times, we get different data giving different probability.

where, P(E) is the experimental (or empirical probability).

Remember:
(i) The experimental or empirical probability of an event is based on what has actually happened whereas the theoretical probability of the event tries to predict what will happen on the basis of certain assumptions.
(ii) An experiment in which all possible outcomes are known in advance and the exact outcome of specific event cannot be predicted in advance, is called a random experiment. The word random means “all outcomes have equal chances of occurrence.“
(iii) Performing a random experiment is trial.
(iv) Die is a solid cube having six faces marked as 1, 2, 3, 4, 5, 6 respectively. Plural of die is dice.
(v) Events are said to be equally likely, if under the given condition, we cannot prefer one event to another event.
(vi) Favourable outcomes are those which result in occurrence of an event in question.
(vii) A pack of playing cards consists of four suits:

Each suit has 13 cards (⇒ total cards 52).
Kings, Queens and Jacks are called Face-cards.
(⇒ There are 12-face cards in a pack)
(viii) If we toss a coin, two outcomes are possible : Head or Tail.
(ix) Probability of an impossible event = 0.
(x) Probability of a sure event = 1.
(xi) Probability of a possible event can be between 0 and 1.

The document Facts that Matter: Probability | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
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## FAQs on Facts that Matter: Probability - Mathematics (Maths) Class 10

 1. What is probability in the context of class 10 mathematics?
Ans. In class 10 mathematics, probability refers to the measure of the likelihood of an event occurring. It is a branch of mathematics that deals with analyzing the chances of various outcomes in an experiment or event.
 2. How is probability calculated in class 10 mathematics?
Ans. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. This ratio can be expressed as a fraction, decimal, or percentage.
 3. What are the different types of events in probability?
Ans. In probability, there are three types of events: favorable events, unfavorable events, and certain events. Favorable events are those outcomes that we are interested in or consider as a success. Unfavorable events are the outcomes we are not interested in or consider as a failure. Certain events are those where the outcome is guaranteed to happen.
 4. How can probability be represented visually in class 10 mathematics?
Ans. Probability can be represented visually using a probability scale or a probability line. On a probability scale, the probability of an event occurring is represented by a point between 0 and 1, where 0 represents impossibility and 1 represents certainty.
 5. What are the applications of probability in real life?
Ans. Probability has various applications in real life, such as weather forecasting, insurance, gambling, medical diagnosis, and risk analysis. It helps in making informed decisions by assessing the likelihood of different outcomes and evaluating the associated risks.

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