## Probability – Solutions of Board Questions (2023) of ISC Class 12 Mathematics

If in a random experiment, there are n mutually exclusive and equally likely elementary events and

m of them are favourable to an event A, then the probability of p of happening of A, denoted by P(A),

is defined as the ratio (m/n).

The probability q of failure of event A is

Exhaustive events: The total number of possible outcomes of a random experiment is called exhaustive events.

(i) In tossing a coin, exhaustive events are two.

(ii) In throwing a die, the exhaustive number of cases is 6.

Mutually Exclusive: The events are said to be mutually exclusive if they can not occur simultaneously in a single draw.

When a coin is tossed, it can show either a head or a tail.

If we toss a tail, we can not get a head.

If we toss a head, we can not get a tail.

Thus these events are mutually exclusive.

When two events are mutually exclusive, we can work out the probability of either of them occurring

by adding together the separate probabilities.

Multiplication Theorem of Probability:

If two events A and B are independent, then the probability that they will both occur is equal

to the product of their individual probabilities.

i.e., P(A and B) = P(A) × P(B)

In set notation:  P(A ∩ B) = P(A) × P(B)

XII M B Q S ISC Probability 2023 (1)
XII M B Q S ISC Probability 2023 (2)
XII M B Q S ISC Probability 2023 (3)

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 Chapterwise Model Questions   –  Class 12 – Mathematics Matrices (Set1) Determinants
ISC   –   Class 12  –  Mathematics  –  Sem 2  –  2022  – Sample Paper

 Sample Paper 1 Sample Paper 2
 ISC – Class 12 –  Mathematics – Sem 1 – 2021 – Sample Paper
ISC- Class 12 – Mathematics – Sem 2 – 2022 – Chapterwise Questions

 Differential Equations (Set 1) Differential equations (Set 2) Integration Probability Linear Programming (LPP)

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