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If A and B are independent events,show t...

If A and B are independent events,show that
`A^c` and `B^c` are independent,

Text Solution

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The correct Answer is:
`P(A^(c ))P(B)`
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ARIHANT PUBLICATION-PROBABILITY-ODISHA BUREAU.S TEXT BOOK SOLUTIONS (EXERCISE 6(A))
  1. If A and B are independent events,show that A^c and B^c are independ...

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  2. If A and B are independent events,show that A^c and B^c are independ...

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  3. If A and B are independent events,show that A^c and B^c are independ...

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  4. Two different digits are selected at random from the digits 1 through ...

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  5. Two different digits are selected at random from the digits 1 through ...

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  6. Two different digits are selected at random from the digits 1 through ...

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  7. Two different digits are selected at random from the digits 1 through ...

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  8. If P (A) = 0.4,P (B | A)= 0.3 and P (B^c | A^c)=0.2. find P (A | B )

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  9. If P(A)= 0.4, P(B/A)=0.3 and P(B^(c )//A^(c )) = 0.2 find P(B//A^(c...

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  10. If P(A) = 0.4, P(B//A) = 0.3 and P(B^(c)/A^(c)) = 0.2. Find P(B).

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  11. If P(A)= 0.4, find P(A^(c ))

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  12. If P(A) = 0.4, P(B/A)=0.3 and P(B^(c )//A^(c )) = 0.2 find P(A cupB...

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  13. If P(A)=0.6, P(B | A)= 0.5, find P (A cup B) if A, B are independent.

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  14. Two cards are drawn in succession from a deck of 52 cards. What is the...

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  15. From a bag containing 5 black and 7 white balls, 3 balls are drawn in ...

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  16. From a bag containing 5 black and 7 white balls, 3 balls are drawn in ...

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  17. A die is rolled until a 6 is obtained. What is the probability that ...

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  18. A die is rolled until a 6 is obtained. What is the probability that ...

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  19. A person takes 3 tests in succession. The probability of his (her) pas...

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  20. A person takes 4 tests in succession. The probability of his passing t...

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