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Given that E and F are events such that...

Given that E and F are events such that `P (E) = 0. 6`, `P (F) = 0. 6`, `P(F) = 0. 3`and `P(EnnF)= 0. 2`, find `P (E|F)`and `P (F|E)`.

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To solve the problem, we need to find the conditional probabilities \( P(E|F) \) and \( P(F|E) \) given the following information: - \( P(E) = 0.6 \) - \( P(F) = 0.3 \) - \( P(E \cap F) = 0.2 \) ### Step 1: Find \( P(E|F) \) ...
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NCERT ENGLISH-PROBABILITY-EXERCISE 13.1
  1. Consider the experiment of throwing a die if a multiple of 3 comes up,...

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  2. Given that the two numbers appearing on throwing two dice are differe...

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  3. In each of the Exercises choose the correct answer:If A and B are eve...

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  4. In each of the Exercises choose the correct answer:If P(A) =1/2, P (B...

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  5. A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3}and G ...

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  6. A black and a red dice are rolled. (a) Find the conditional probabi...

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  7. An instructor has a test bank consisting of 300 easy True/False que...

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  8. Assume that each child born is equally likely to be a boy or a girl. I...

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  9. Evaluate P(AuuB), if 2P(A) = P(B) =5/(13)and P(A|B) =2/5

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  10. If P (A) =6/(11), P(B) =5/(11)and P(AuuB)=7/(11), find(i) P(AnnB) (ii)...

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  11. Compute P(A|B). if P(B) = 0. 5and P(AnnB)= 0. 32

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  12. If P (A) = 0. 8, P(B) = 0. 5and P(B|A) = 0. 4, find (i) P(AnnB) (ii) ...

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  13. Given that E and F are events such that P (E) = 0. 6, P (F) = 0. 6, P...

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  14. A die is thrown three times. Find P(A//B) and P(B//A) , if A=4 appears...

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  15. Mother father and son line up at random for a family picture. If A and...

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  16. A coin is tossed three times. Find P(A//B) in each of the following: A...

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  17. Two coins are tossed once. P(E//F) in each of the following: E= Tail a...

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