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  • The probability that a number selected at random between 100 and 999 (both inclusive) will not contain the digit 7 isOption: 1 <img alt="\frac{16}{25

The probability that a number selected at random between 100 and 999 (both inclusive) will not contain the digit 7 is

Option: 1

\frac{16}{25}


Option: 2

\left ( \frac{9}{10} \right )^{3}


Option: 3

\frac{27}{75}


Option: 4

\frac{18}{25}


Answers (1)

best_answer

Total ways of selecting one number ={ }^{900} \mathrm{C}_1=900
Favourable ways of selecting a number not containing

{ }^{\prime} 7^{\prime}=8 \times 9 \times 9\\ ( \because \quad \text{0 and 7 can't occur at 100th place})\\ \text{so Req. prob.} \quad=\frac{8 \times 9 \times 9}{900}=\frac{18}{25}

Posted by

manish painkra

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