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Given that the events A and B are such that `P(A) = (1)/(2), P(A cup B)=(3)/(5)` and P(B) = p. Find p if they are (i) mutually exclusive (ii) independent.

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The correct Answer is:
(i) `p=(1)/(10)`, (ii) `p=(1)/(5)`
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NCERT GUJARATI-PROBABILITY-EXERCISE 3.2
  1. If P(A) =(3)/(5) and P (B)=(1)/(5) find P(A cap B) if A and B are inde...

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  2. Two cards are drawn at random and without replacement from a pack of 5...

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  3. A box of oranges is inspected by examining three randomly selected ora...

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  4. A fair coin and an unbiased die are tossed. Let A be the event head ap...

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

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

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

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

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

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

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

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  16. In a hostel, 60% of the students read Hindi newspaper, 40% read Englis...

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  17. Choose the correct answer The probability of obtaining an even prime...

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  18. Choose the correct answer Two events A and B will be independent, if

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