Question

In a box 25 cards are there and 1 to 25 numbers are written on them. one card is drawn randomly. what is the probability that it is multiple of 5.


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Answer 1

Given :

• No. of cards in the box = 25
• Numbered from = 1 to 25

$\\ \rule{200pt}{3pt}$

To Find :

• Probability of getting a card that is multiple of 5 = ?

$\\ \rule{200pt}{3pt}$

Solution :

⚝ Formula Used :

• ${\underline{\boxed{\red{\sf{ Probability = \dfrac{ Favourable \; Outcomes}{Total \; Outcomes} }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

⚝ Looking at the Multiples of 5 :

As we know from 1 to 25 multiple of 5 are :

• ➺ 1st Multiple = 5 × 1 = 5
• ➺ 2nd Multiple = 5 × 2 = 10
• ➺ 3rd Multiple = 5 × 3 = 15
• ➺ 4th Multiple = 5 × 4 = 20
• ➺ 5th Multiple = 5 × 5 = 25

And the total no. of Outcomes is 25 .

• ➺ Total Outcomes = 25

$\\ \qquad{\rule{150pt}{1pt}}$

⚝ Calculating the Probability :

$\begin{gathered} \dashrightarrow \; \; \sf { Probability = \dfrac{Favourable \; Outcomes}{Total \; Outcomes} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Probability = \dfrac{No. \; of \; Multiple \; of \; 5}{Total \; Numbers} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Probability = \dfrac{5}{25} } \\ \end{gathered}$

$\begin{gathered} \dashrightarrow \; \; \sf { Probability = \cancel\dfrac{5}{25} } \\ \end{gathered}$

$\begin{gathered} \; \; {\qquad \; \; {\therefore \; {\underline{\boxed{\pmb{\purple{\frak { Probability = \dfrac{1}{5} }}}}}}}} \\ \end{gathered}$

$\\ \qquad{\rule{150pt}{1pt}}$

⚝ Therefore :

❛❛ Probability of getting a Multiple of 5 is 5/25 or 1/5 . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$

Answer 2

Step-by-step explanation:

No. of cards in the box = 25

Numbered from = 1 to 25

\begin{gathered} \\ \rule{200pt}{3pt} \end{gathered}

To Find :

Probability of getting a card that is multiple of 5 =

Solution :

⚝ Formula Used

⚝ Looking at the Multiples of 5 :

As we know from 1 to 25 multiple of 5 are :

➺ 1st Multiple = 5 × 1 = 5

➺ 2nd Multiple = 5 × 2 = 10

➺ 3rd Multiple = 5 × 3 = 15

➺ 4th Multiple = 5 × 4 = 20

➺ 5th Multiple = 5 × 5 = 25

\begin{gathered} \\ \end{gathered}

And the total no. of Outcomes is 25 .

➺ Total Outcomes = 25

⇢Probability=

TotalOutcomes

FavourableOutcomes

⇢Probability=

TotalNumbers

No.ofMultipleof5

⇢Probability=

25

5

⇢Probability=

25

5

Probability=

5

1

Probability=

5

1

⚝ Therefore :

❛❛ Probability of getting a Multiple of 5 is 5/25 or 1/5 . ❜❜