Ex 13.2, 8 - Chapter 13 Class 12 Probability
Last updated at Dec. 16, 2024 by Teachoo
Independent events
Ex 13.2, 1
You are here
You are here
Chapter 13 Class 12 Probability
Concept wise
- Conditional Probability - Values given
- Conditional Probability - Statement
- Multiplication rule of probability
-
Independent events
- Basic Probability
- Theorem of total probability
- Bayes theorem
- Random Variable - Defination
- Probability distribution
- Mean or Expectation of random variable
- Variance and Standard Deviation of a Random Variable
- Bernoulli Trials
- Binomial Distribution
Transcript
Ex 13.2, 8 Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find (i) P(A ∩ B) (ii) P(A ∪ B) (iii) P (A|B) (iv) P (B|A)Given, P(A) = 0.3 , P(B) = 0.4 Since events A and B are independent ∴ P(A ∩ B) = P(A) . P(B) P(A ∩ B) = P(A) . P(B) = 0.3 × 0.4 = 0.12 P(A ∪ B) = P(A) + P(B) – P(A ∩ B) = 0.3 + 0.4 – 0.12 = 0.70 – 0.12 = 0.58 P (A|B) = (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐵)) = 0.12/0.40 = 12/40 = 0.3 P (B|A) = (𝑃(𝐴 ∩ 𝐵))/(𝑃(𝐴)) = (0. 12)/(0. 30) = 12/30 = 0.4
