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Let S be the sample space of the random ...

Let S be the sample space of the random experiment of throwing simultaneously two unbaised dice with six faces (numbered1 to 6) and let `E_(k) = {(a,b) in S : ab = k} for k ge 1`. If `P_(k) = P(E_(k)) for kge 1` then the correct, among the following is

A

`P_(1) lt P_(30)lt P_(4)lt P_(6)`

B

`P_(36) lt P_(6)lt P_(2)lt P_(4)`

C

`P_(1) lt P_(11)lt P_(4)lt P_(6)`

D

`P_(36) lt P_(11)lt P_(6)lt P_(4)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Let S be the sample space of the random experiment of throwing simultaneously two unbaised dice with six faces (numbered 1 to 6) and let E_(1) ={(a,b), epsi S:ab =k} for kge 1

    A
    `p_(1) lt p_(30) lt p_(6)`
    B
    `p_(36) lt p_(6) lt p_(2) lt p_(4)`
    C
    `p_(1) lt p_(14) lt p_(4) lt p_(6)`
    D
    `p_(36) lt p_(11) lt p_(6) lt p_(4)`

  • Let S(K) =1+3+5+….+(2K-1)=k^(2) +3 . Then which of the following is true?

    A
    `S(1)` is correct
    B
    `S(K) rArr S(K+1)`
    C
    `S(K) ne S(K+1)`
    D
    P.OF.M.I can be used to prove the formula

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    A
    Both I and II are true
    B
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    C
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    D
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