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A person takes 4 tests in succession. Th...

A person takes 4 tests in succession. The probability of his passing the first test is p, that of his passing each succeeding test is p or `p/2` depending on his passing or failing the preceding test, Find the probabilty of his passing
just three tests.

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A person takes 4 tests in succession. The probability of his passing the first test is p, that of his passing each succeeding test is p or p/2 depending on his passing or failing the preceding test, Find the probabilty of his passing at least three test

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ARIHANT PUBLICATION-PROBABILITY-ODISHA BUREAU.S TEXT BOOK SOLUTIONS (EXERCISE 6(A))
  1. 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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  2. 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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  3. 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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  4. If P(A)= 0.4, find P(A^(c ))

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

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

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

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

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

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

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

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

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

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  15. Given that all three faces are different in a throw of three dice, fin...

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  16. Given that all three faces are different in a throw of three dice, fin...

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  17. From the set of all families having three children, a family is picked...

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  18. From the set of all families having three children, a family is picked...

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  19. Three persons hit a target with probability 1/2,1/3 and 1/4 respective...

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  20. Three persons hit a target with probability 1/2,1/3 and 1/4 respective...

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