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1 Forgot the Last Digit of a 7-digit Telephone Number. If 1 Randomly Dial the Final 3 Digits After Correctly Dialing the First Four, Then What is the Chance of Dialing the Correct Number? -

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Question

1 forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number?

Options

  • `1/999`

  • `1/1001`

  • `1/1000`

  • `4/1000`

MCQ

Solution

`1/1000`

Explanation:
It is given that the last three digits are randomly dialed.
Then each of the digits can be selected out of 10 digits in 10 ways.

Hence, required probability = `(1/10)^3=1/1000`

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Probability (Entrance Exam)
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