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Ex 13.1, 15 - If multiple of 3 comes up, throw die again - Conditional Probability - Statement

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  1. Chapter 13 Class 12 Probability
  2. Serial order wise
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Ex 13.1, 15 Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event ‘the coin shows a tail’, given that ‘at least one die shows a 3’. A die is thrown If multiple of 3 comes up, the die is thrown again If any other number comes up, a coin is tossed . . We need to find the Probability of the coin showing a tail, given that at least one die shows a 3. E : coin shows a tail F : at least one die shows 3 We need to find P(E|F) Also, E∩F = ϕ So, P E∩F﷯=0 Now, P(E|F) = 𝑃 𝐸 ∩ 𝐹﷯﷮𝑃(𝐹)﷯ = 0﷮ 7﷮36﷯﷯ = 0

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.