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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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The correct Answer is:
`(5)/(2)p^(3)(1 - p)`
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ARIHANT PRAKASHAN-PROBABILITY-Topic 1 (Practice questions (4 mark question))
  1. A person takes 4 tests in succession. The probability of his passing t...

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  2. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

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  3. Five boys and four girls randomly stand in a line. Find the probabilit...

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  4. Let A and b be events with P(A) = 1/3, P(A cup B)= 3/4 and P(A cap B...

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

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  6. Two balls are drawn from a bag containing 6 red and 4 yellow balls. Fi...

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  7. A person draws three cards at random one after another from a pack of ...

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  8. A class consists of 25 boys and 15 girls. If a committee of 6 is to be...

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  9. If 8 person are to sit around a table what is the probability that X a...

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  10. A and B are two events. If P(A) = (3)/(8), P(B) = (1)/(2) and P(A nn B...

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

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  12. A and B are two events. If P(A) = (3)/(8), P(B) = (1)/(2) and P(A nn ...

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  13. If A and B are two events such that P(A) = 0.6, P(B)= 0.5 and P(A nn B...

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  14. Find the probability of obtaining a total of 9 in a single throw of tw...

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  15. If A and B are independent events,show that A^c and B are independen...

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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. The probability that A speaks truth is (4)/(5) while the probability f...

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  18. If A and B are two events such that P(A) = 0.6, P(B) = 0.2 and P((A)/(...

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  19. A and B play a game by alternately throwing a pair of dice. One who th...

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