Probability: Class 12 Mathematics (Bihar Board) important questions and practice
Probability is chapter 13 of 13 in Bihar Board Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Conditional probability and its properties
- Multiplication theorem on probability
- Independent events
- Total probability theorem and Bayes' theorem
- Random variables and probability distributions; mean of a random variable
What examiners usually ask
- A bag contains 4 red and 4 black balls, another contains 2 red and 6 black; one bag is selected at random and a ball is drawn and found to be red; find the probability that it was drawn from the first bag
- Two cards are drawn without replacement from a deck; find the probability distribution of the number of aces and its mean
- If P(A) = 0.6, P(B) = 0.4 and A and B are independent, find P(A or B) and P(neither A nor B)
Exam tip
Bayes' theorem is the standard 5-mark question: define the events E1, E2 and A in words, write the prior and conditional probabilities, then apply the formula; for distributions check that the probabilities sum to 1 before finding the mean.
Probability on other boards and exams
- CUET UG Mathematics
- CBSE Class 10 Mathematics
- ICSE Class 10 Mathematics
- Bihar Board Class 10 Mathematics (गणित)
- UP Board Class 10 Mathematics (गणित)
- MP Board Class 10 Mathematics (गणित)
- CBSE Class 11 Mathematics
- Bihar Board Class 11 Mathematics
- UP Board Class 11 Mathematics
- MP Board Class 11 Mathematics
- CBSE Class 12 Mathematics
- UP Board Class 12 Mathematics
- MP Board Class 12 Mathematics
Frequently asked questions
What are the important questions from Probability for Bihar Board Class 12?
The question types listed above repeat most often in Bihar Board Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Probability in the Bihar Board Class 12 Mathematics syllabus?
Yes. Probability is part of the current Bihar Board Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Probability MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.