Question

There are 2 red,3 blue and 5 black balls in a bag. A ball is drawn from a bag without looking into the bag. What is the probability of;


a) getting a blue ball

b) getting a green ball ​

Answer 1

⇒ Given:

→ 2 red balls

→ 3 blue balls

→ 5 green balls

⇒ To Find:

→ The probability of getting a blue ball.

→ The probability of getting a green ball.

⇒ Formula to be used:

→ $\sf{P=\dfrac{No.\:of\:required\:balls}{Total\:balls}}$

⇒ Solution:

Total no. of balls

= No. of red balls + No. of blue balls + No. of green balls

= 2 + 3 + 5

= 10 balls

Part a) Blue balls

No. of blue balls = 3

Total no. of balls = 10

Probability of getting a blue ball:

$\sf{P=\dfrac{No.\:of\:blue\:balls}{Total\:balls}}$

$\sf{P=\dfrac{3}{10}}$

As 3/10 is in its simplest form, the required answer is 3/10.

Part b) Green balls

No. of green balls = 5

Total no. of balls = 10

Probability of getting a green ball:

$\sf{P=\dfrac{No.\:of\:green\:balls}{Total\:balls}}$

$\sf{P=\dfrac{5}{10}}$

As 5/10 can be simplified into 1/2 by dividing both the numerator and denominator by 5, the required answer is 1/2.

⇒ Final Answers:

→ 3/10

→ 1/2

Knowledge Bytes:

→ Probability

✳ The measurement of the likeness of a specific event to occur is known as probability.

✳ Probability always occur between 1 and 0 where 1 is a sure event and 0 is an event that will never occur.

✳ For example, the probability of the sun rising in the west is 0 while the probability of sun setting in the east is 1.

✳ Probability is an experiment. In this experiment a series of actions are carried out and determined whether the outcomes may or may not take place.

✳ Probability is always expressed as a fraction or a decimal in its simplest form.