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In a certains lottery 10,000 tickets are...

In a certains lottery 10,000 tickets are sold and ten equal prizes are awarded. What Is the probability of not getting a prize if you buy (a) one ticket (b) two tikets (c) 10 tickets.

Text Solution

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The correct Answer is:
(a) `999/1000`, (b) `(""^(9990)C_(2))/(""^(1000)C_(2))`, (c) `(""^(9990)C_(10))/(""^(10000)C_(10))`
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Knowledge Check

  • In a set of lottery Tickets 7 carry prizes and 25 are blank. If three tickets are drawn then the probability to get a prize is

    A
    `(.^(7)C_(3))/(.^(32)C_(3))`
    B
    `(.^(25)C_(3))/(.^(32)C_(3))`
    C
    `1-(.^(25)C_(3))/(.^(32)C_(3))`
    D
    cannot be decided

  • In a lottery with 30 tickets numbered 1 to 30, two tickets are drawn simultaneously. The probability that atleast one of the two tickets drawn is not a prime number is

    A
    `(3)/(29)`
    B
    `(5)/(29)`
    C
    `(25)/(29)`
    D
    `(26)/(29)`

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    A
    `19//100`
    B
    `1//5`
    C
    `21//100`
    D
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