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Misc 2 (i) - Chapter 13 Class 12 Probability
Last updated at July 24, 2026 by Teachoo
Conditional Probability - Statement
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
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Transcript
Misc 2 A couple has two children, (i) Find the probability that both children are males, if it is known that at least one of the children is male.A Couple has two children, Let boy be denoted by b & girl be denoted by g So, S = {(b, b) ,(b, g),(g, b), (g, g)} We need to find probability that both children are males, if known that at least one of children is male Let E : Both children are males F : At least one child is male We need to find P(E|F) E : Both children are males E = {(b, b)} P(E) = 𝟏/𝟒 F : At least one child is male F = {(b, g), (g, b), (b, b)} P(F) = 𝟑/𝟒 Also, E ∩ F = {(b, b)} P(E ∩ F ) = 𝟏/𝟒 P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (𝟏/𝟒)/(𝟑/𝟒) = 1/3 ∴ Required Probability is 𝟏/𝟑
