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Two events A and B will be independent,...

Two events A and B will be independent, if(A) A and B are mutually exclusive(B) `P(AprimeBprime)=[1-P(A)][1-P(B)]`(C) `P(A) = P(B)` (D) `P(A) + P(B) = 1`

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To determine which statement correctly describes the condition for two events A and B to be independent, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Understanding Independence of Events**: - Two events A and B are said to be independent if the occurrence of one does not affect the occurrence of the other. Mathematically, this is expressed as: \[ P(A \cap B) = P(A) \cdot P(B) ...
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NCERT-PROBABILITY-EXERCISE 13.2
  1. If A and B are two events such that P(A)=1/2, P(B) =7/(12)and P(not A...

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

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  3. Given that the events A and B are such that P (A) =1/2, P(AnnB)=3/5an...

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  4. A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be ...

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

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  6. Let A and B be independent events with P(A) = 0. 3and P(B) = 0. 4Find...

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  7. Let E and F be events with P (E) =3/5, P (F) =3/(10)and P(EnnF)=1/5. A...

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  8. If P(A) =3/5and P(B) =1/5, find P(AnnB)if A and B are independent even...

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  9. A fair coin and an unbiased die are tossed. Let A be the event head a...

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  10. A box of oranges is inspected by examining three randomly selected or...

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

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  12. Two events A and B will be independent, if(A) A and B are mutually ex...

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  13. Given two independent events A and B such thatP(A) = 0. 3,P(B) = 0. 6...

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

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

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

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  17. In a hostel 60% of the students read Hindi news paper, 40% read Engli...

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  18. The probability of obtaining an even prime number on each die, when a...

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