Formulas of Probability :Class 12 maths

I present to you all the formulae of probability needed for classes 11 and 12, ISC, CBSE curriculum. These are covered in my course "Probability for class 12: questions with solutions.".
The entire course is available for Rs 1099 only.

1. Probability formulas: Class 12 M aths Suman Mathews

2. 2. If A and B are mutually exclusive, A 3. If A and B are mutually exclusive, 4. A/B A given that B has occurred  

3. 5. 6. A and B are independent events, if the occurrence of A does not affect the occurrence of B 7. If A is any event with probability p, then odds in favour of A = Odds against A = 8. A and B are said to be exhaustive if where S is the sample space  

4. 9. If are n mutually exclusive and exhaustive events associated with a sample space S and A is any event associated with S, then 10. Bayes’ theorem If are n mutually exclusive and exhaustive events associated with a random experiment and A is any event associated with S, then 11. A random variable is a variable whose values are determined by chance. 12. Sum of the probabilities of a random variable is 1  

5. 13. Mean of a random variable 14. Variance of a random variable 15. A Binomial trial is a trial in which i . n is finite and is defined before the experiment ii. each trial has only 2 possible outcomes, success and failure iii. the result of any trial is independent of the result of other trials. iv. the probability of success does not change from trial to trial eg . Tossing a fair coin 10 times and recording number of heads Tossing a biased coin 10 times and recording number of heads. Rolling 2 dice 4 times and recording the number of times we get a total of 5 Drawing a card 10 times and determining if it is a diamond, replacing the card after each trial.    

6. 16 For a binomial distribution, if p denotes success and q denoted failure P(X= r ) =   17. A Binomial distribution is since the successive probabilities are the terms of the binomial expansion   For a binomial distribution, mean = np Variance = npq

7. Thank you!