Ex 13.2, 15 (i) - Chapter 13 Class 12 Probability
Last updated at April 16, 2024 by Teachoo
Independent events
Ex 13.2, 1
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Chapter 13 Class 12 Probability
Concept wise
- Conditional Probability - Values given
- Conditional Probability - Statement
- Multiplication rule of probability
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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, 15 One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent ? (i) E : ‘the card drawn is a spade’ F : ‘the card drawn is an ace’Finding P(E), P(F) and P(E ∩ F) E : the card drawn is a spade Number of spades = 13 Total number of cards = 52 P(E) = 13/52 = 1/4 F : the card drawn is an ace Number of ace = 4 Total number of cards = 52 P(F) = 4/52 = 1/13 Now, E ∩ F = the card drawn is an ace of spades Number of ace of spades = 1 So, P(E ∩ F) = 1/52 Now, P(E) . P(F) = 1/4 × 1/13 = 1/52 = P(E ∩ F) Since, P(E ∩ F) = P(E) . P(F), Therefore, E and F are independent events
