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A coin is tossed thrice and all the eigh...

A coin is tossed thrice and all the eight outcomes are assumed equally likely. In which of the following cases are the following events `A` and `B` are independent?

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To determine whether the events \( A \) and \( B \) are independent, we will analyze each case provided in the question. Two events \( A \) and \( B \) are independent if the occurrence of one does not affect the occurrence of the other. Mathematically, this can be expressed as: \[ P(A \cap B) = P(A) \cdot P(B) \] ### Step-by-Step Solution: ...
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RD SHARMA ENGLISH-PROBABILITY-All Questions
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  2. Assume that each born child is equally likely to be a boy or a girl...

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  3. A coin is tossed thrice and all the eight outcomes are assumed equally...

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  4. In a school there are 1000 students, out of which 430 are girls. It is...

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  5. Prove that in throwing a pair of dice, the occurrence of the number...

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  6. if A and B be two events such that P(A)=1/4, P(B)=1/3 and P(AuuB)=1...

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  7. A bag contains 4 white, 7 black and 5 red balls. Three balls are drawn...

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  8. A coin is tossed three times. Let the events A ,B and C be defined ...

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  9. A card is drawn from a well-shuffled deck of 52 cards and then a secon...

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

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

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  12. Two coins are tossed once. Find P(A/B) in each of the following...

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

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  14. If A and B are two events such that 2P(A)=P(B)=5/(13) and P(A/B)=2/...

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

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

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  17. If A and B are events such that P(A)=0. 6 ,P(B)=0. 3 and P(AnnB)=0....

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  18. If A and B are two events such that P(AnnB)=0. 32 and P(B)=0. 5 , f...

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  19. A bag contains 20 tickets, numbered from 1 to 20. Two tickets are draw...

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  20. Two cards are drawn without replacement from a pack of 52 cards. Fi...

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