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If each element of a second order determ...

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability `(1)/(2)`)

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The correct Answer is:
`(3)/(16)`
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KUMAR PRAKASHAN-PROBABILITY-MISCELLANEOUS EXERCISE 13
  1. A and B are two events such that P (A) != 0. Find P(B|A), if (i) A ...

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  2. A couple has two children, (i) Find the probability that both child...

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  3. A couple has two children, (i) Find the probability that both child...

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  4. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

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  5. Suppose that 90% of people are right-handed. What is the probability t...

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  6. An urn contains 25 balls of which 10 balls bear a mark 'X' and the rem...

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  7. In a hurdle race, a player has to cross 10 hurdles. The probability th...

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  8. A dice is thrown again and again until three sixes are obtained. Find ...

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  9. If a leap year is selected at random, what is the chance that it will ...

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  10. An experiment succeeds twice as often as it fails. Find the probabilit...

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  11. How many times must a man toss a fair coin so that the probability of ...

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  12. In a game, a man wins a rupee for a six and loses a rupee for any othe...

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  13. Suppose we have four boxes A, B, C and D containing coloured marbles a...

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  14. Assume that the chances of a patient having a heart attack is 40%. It ...

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  15. If each element of a second order determinant is either zero or one, w...

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  16. An electronic assembly consists of two subsystems, say, A and B. From ...

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  17. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

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  18. Choose the correct answer: If A and B are two events such that P(A) ...

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  19. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

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  20. Choose the correct answer: If A and B are any two events such that P...

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