Question

A bag has five cards numbered 1 to 5. What is the probability of drawing a card with number 3 ? 

1/3

1/5

1​

Answer 1

Total number of outcomes - 5

Number of favourable outcomes - 1 (3)

$probability \: = \frac{no. \: of \: favourable \: outcomes}{total \: no. \: of \: outcomes} \\ probality \: = \frac{1}{5}$

there you go :)

Answer 2

In the given question,

Bag has 5 cards numbered 1 to 5.

To find:

Probability of drawing a card with number 3 = ?

Solution:

Probability of an event happening can be defined as the number of favourable outcomes divided by the total number of outcomes.

Writing it mathematically,

P(E) = Number of favourable outcomes ÷ Total number of outcomes.

Here,

• Number of favourable outcomes is only 1 because only 1 card is numbered as 3.
• Total number of outcomes is 5 because there are 5 cards.

→ P(Number 3) = 1 ÷ 5

→ P(Number 3) = ⅕

∴ Probability of drawing a card with number 3 = ⅕

KNOW MORE:

• Probability of an event happening and event not happening is 1.
• Probability of any event lies between 0 and 1.