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If A and B are two events such that: P(A...

If A and B are two events such that: `P(A)=\ 1//3` , `P(B)=1//5` and `P(AuuB)=11//30` , find `P(A//B)` and `P(B//A)` .

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To solve the problem, we need to find the conditional probabilities \( P(A|B) \) and \( P(B|A) \) given the probabilities of events A and B, and their union. ### Given: - \( P(A) = \frac{1}{3} \) - \( P(B) = \frac{1}{5} \) - \( P(A \cup B) = \frac{11}{30} \) ### Step 1: Find \( P(A \cap B) \) ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. If A and B are two events such that P(AnnB)=0. 32\ a n d\ P(B)=. 5 , t...

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  2. If P(A)=0. 4 ,\ P(B)=0. 8 ,\ P(B//A)=0. 6 . Find P(A//B) and P(AuuB)

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  3. If A and B are two events such that: P(A)=\ 1//3 , P(B)=1//5 and P(Auu...

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

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  5. If P(A)7/(13),P(B)=9/(13) and P(AnnB)=4/(13), find P(A/B)dot

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

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

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

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  9. Determine P (E|F)in :A coin is tossed three times, where (i) E : Head...

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  10. Two coins are tossed once. Find P(E/F) in each of the following : ...

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

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

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  13. A dice is thrown twice and the sum of the numbers appearing is observe...

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  14. Two dice are thrown. Find the probability that the numbers appeared ha...

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  15. A pear of dice is thrown. Find the probability of getting 7 as the ...

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  16. A pair of dice is thrown. Find the probability of getting 7 as the sum...

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  17. A die is rolled. If the outcome is an odd number, what is the proba...

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  18. A pair of dice is thrown. Find the probability of getting the sum 8...

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  19. Find the probability that the sum of the numbers showing on two dic...

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  20. Two integers are selected at random from integers 1 through 11. If the...

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