Hundred identical cards are numbered from \[\mathbf{1}\text{ }\mathbf{to}\text{ }\mathbf{100}\]. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: \[\left( \mathbf{i} \right)\] a multiple of \[\mathbf{5}\] \[\left( \mathbf{ii} \right)\] a multiple of \[\mathbf{6}\]

Home » Hundred identical cards are numbered from . The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is: a multiple of a multiple of

Hundred identical cards are numbered from

$\mathbf{1}\text{ }\mathbf{to}\text{ }\mathbf{100}$

. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is:

$\left( \mathbf{i} \right)$

a multiple of

$\mathbf{5}$

$\left( \mathbf{ii} \right)$

a multiple of

$\mathbf{6}$

CBSE | Class 10 | Exercise 13.2 | Selina | Statistics and Probability

Hundred identical cards are numbered from

$\mathbf{1}\text{ }\mathbf{to}\text{ }\mathbf{100}$

. The cards The cards are well shuffled and then a card is drawn. Find the probability that the number on card drawn is:

$\left( \mathbf{i} \right)$

a multiple of

$\mathbf{5}$

$\left( \mathbf{ii} \right)$

a multiple of

$\mathbf{6}$

Solution:

We kwon that, there are

$100$

cards from which one card is drawn.

Total number of elementary events

$=\text{ }n\left( S \right)\text{ }=\text{ }100$

$\left( i \right)~$

From numbers

$1\text{ }to\text{ }100$

there are

$20$

numbers which are multiple of 5 i.e.

$\{5,\text{ }10,\text{ }15,\text{ }20,\text{ }25,$

$30,\text{ }35,\text{ }40,\text{ }45,\text{ }50,\text{ }55,\text{ }60,\text{ }65,\text{ }70,\text{ }75,\text{ }80,\text{ }85,\text{ }90,\text{ }95,\text{ }100\}$