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A number x is chosen at random from numbers -3,-2,-1,0,1,2, and 3. find the probability that `|x| lt 2`.

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Knowledge Check

  • A natural number x is chosen at random from the first 100 natural number. The probability that x+100/x gt 50 is

    A
    11/20
    B
    11
    C
    20/11
    D
    none of these

  • The three digit numbers are formed using the digits 0,2,4,6,8 . A Number is chosen at random out of these numbers . What is the probability that this number has the same digits ?

    A
    `1/16`
    B
    `16/25`
    C
    `1/645`
    D
    `1/25`

  • If three distinct numbers are chosen randomly from the first 100 natural numbers , then the probability that all three of them are divisible by 2 and 3 is :

    A
    `4/25`
    B
    `4/35`
    C
    `4/33`
    D
    `4/1155`

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    Let n=10lambda+r", where " lambda,rinN, 0lerle9. A number a is chosen at random from the set {1, 2, 3,…, n} and let p_n denote the probability that (a^2-1) is divisible by 10. If r=0, then np_n equals

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