These comprehensive RBSE Class 10 Maths Notes Chapter 15 Probability will give a brief overview of all the concepts.

## RBSE Class 10 Maths Chapter 15 Notes Probability

Important Points

1. The experimental (or empirical) probability of an event is based on the results of actual experiments, whereas in theoretical probability of that event prediction is made on the basis of none assumptions as to which event will occur? As the number of trials goes on increasing in an experiment, so we can expect for experimental and theoretical probabilities to be approximately equal.

2. The theoretical (or classical) probability P(E) of event E is defined in the following form—

\(P(E)=\frac{\text { Number of outcomes favourable to E }}{\text { Number of all possible outcomes of the experiment }}\)

Where we assume that the outcomes of the experiment are equally likely.

3. The probability of a sure event (or certain event) is 1.

4. The probability of an impossible event is 0.

5. The probability of an event is a number P(E) such that 0 ≤ P(E) ≤ 1

6. An event having only one outcome is called an elementary event. The sum of the probabilities of all the elementary events of an experiment is 1.

7. For any event P(E) + p\((\overline{\mathrm{E}})\) = L where E stands for “not E, E and \(\overline{\mathbf{E}}\) are called complementary events.

Playing Cards—

Total number of cards in a deck of cards =52. These 52 cards are divided into 4 suits,

(i) Spades

(ii) Hearts

(iii) Diamond

(iv) Clubs.

Each suit consists of 13 cards, i.e., there are 13 cards of spades, 13 cards of hearts, 13 cards of diamonds and 13 cards of clubs.

Cards of Black Colour—

Spades 13 and clubs 13 = Total 26

Cards of Red Colour—

Hearts 13 and diamonds 13 = total 26

In each suit ace, king, queen and jack are cards of higher order.

Ace is a card of first order and king, queen and jack are called face cards.

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