Let S be the sample space of all five digit n | vedclass

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Question

Sol. $n ( S )=$ all 5 digit nos $=9 	imes 10^{4}$

$A :$ no is multiple of $7$ but not divisible by $5$

Smallest $5$ digit divisible by $7$ is $

Vedclass · Accepted Answer

$1.0285$

Vedclass · Answer

Sol. $n ( S )=$ all 5 digit nos $=9 	imes 10^{4}$

$A :$ no is multiple of $7$ but not divisible by $5$

Smallest $5$ digit divisible by $7$ is $10003$

Largest $5$ digit divisible by $7$ is $99995$

$	herefore 99995=10003+( n -1) 7 \quad n =12857$

Numbers divisible by $35$

$99995=10010+( P -1) 35 \Rightarrow P =2572$

$	herefore$ Numbers divisible by $7$ but not by $35$ are

$12857-2572=10285$

$	herefore P =\frac{10285}{90000}$

$	herefore 9\,P =1.0285$

Let $S$ be the sample space of all five digit numbers.If $p$ is the probability that a randomly selected number from $S$, is a multiple of $7$ but not divisible by $5$ , then $9\,p$ is equal to.

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