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  • From all the two digit numbers, a number is chosen at random. Find the probability that the chosen number is a multiple of 7.  

From all the two digit numbers, a number is chosen at random. Find the probability that the chosen number is a multiple of 7.

 

Answers (1)

Total no of two digit numbers \Rightarrow \left \{ 10,...99 \right \}=90

\Rightarrow n(T)=90

Two digit multiple of 7, 

\left ( n(A) \right )= \left \{ 14,21,28,35,42,49,56,63,70,77,84,91,98 \right \}

\Rightarrow n(A) = 13

The probability that the no. chosen is multiple of 7 =P(A)

\Rightarrow P(A)=\frac{n(A)}{n(T)}=\frac{13}{90}

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Safeer PP

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