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Let E and F be events with P(E)=(3)/(5)...

Let E and F be events with `P(E)=(3)/(5), P(F)=(3)/(10)` and `P (E cap F) =(1)/(5)` Are E and F independent?

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The correct Answer is:
E and F are not independent events.
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KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.2
  1. A fair coin and an unbiased dice are tossed. Let A be the event 'head ...

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  2. A dice marked 1, 2, 3 in red colour and 4, 5, 6 in green colour is tos...

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  3. Let E and F be events with P(E)=(3)/(5), P(F)=(3)/(10) and P (E cap ...

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  4. Given that the events A and B are such that P(A)= (1)/(2), P( A cap B...

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  5. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

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  6. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

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  7. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

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  8. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

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  9. If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) an...

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  10. Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...

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  11. Given two independent events A and B such that P(A) = 0.3, Find (i...

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  12. Given two independent events A and B such that P(A) = 0.3, Find (i...

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  13. Given two independent events A and B such that P(A)= 0.3, P(B)= 0.6. F...

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  14. Given two independent events A and B such that P(A) = 0.3, Find (i...

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  15. A die is tossed thrice. Find the probability of getting an odd number ...

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  16. Two balls are drawn at random with replacement from a box containing 1...

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  17. Two balls are drawn at random with replacement from a box containing 1...

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  18. Two balls are drawn at random with replacement from a box containing 1...

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  19. Probability of solving specific problem independently by A and B are (...

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  20. One card is drawn at random from a well shuffled deck of 52 cards. In ...

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