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A is a set containing n elements. A subs...

A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The probability that P =Q, is

Text Solution

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The correct Answer is:
`A to P; B to Q ; C to S ; D to S`
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Knowledge Check

  • A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The probability that P and Q are disjoint sets, is

    A
    `((1)/(2))^(n)`
    B
    `((1)/(4))^(n)`
    C
    `(3)/(4)`
    D
    `((3)/(4))^(n)`

  • A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cup Q contain just one element, is

    A
    `(3)/(4^(n))`
    B
    `(3n)/(4^(n))`
    C
    `n((3)/(4))^(n)`
    D
    `(n)/(4^(n))`

  • A is a set containing n elements. A subset P of A is chosen at random. The set A is reconstructed by replacing the elements of P. A subset Q is again chosen at random. The Probability that P cap Q contain just one element, is

    A
    `((3)/(4))^(n)`
    B
    `n((3)/(4))^(n)`
    C
    `(n)/(3)((3)/(4))^(n)`
    D
    `(n)/(4)((3)/(4))^(n)`

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