Test Index

Probability Part 2

Section: Mathematics

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Question : 64 of 100

Marks: +1, -0

Let

S

be the sample space of all five digit numbers. It

p

is the probability that a randomly selected number from

S

, is a multiple of 7 but not divisible by 5 , then

9 p

[27-Jul-2022-Shift-1]

$1.0146$
$1.2085$
$1.0285$
$1.1521$

Solution:

Among the 5 digit numbers,

First number divisible by 7 is 10003 and last is 99995 .

\Rightarrow

Number of numbers divisible by 7 .

=\;\frac{99995-10003}{7}+1

=12857

First number divisible by 35 is 10010 and last is 99995.

\Rightarrow

Number of numbers divisible by 35

=\;\frac{99995-10010}{35}+1

=2572

Hence number of number divisible by 7 but not by 5

=12857-2572

=10285

9 P .=\;\frac{10285}{90000} \times 9

=1.0285

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