Question

A box contains 5 red pens and 4 blue pens two pens are drawn at random what is the probability of getting same colour

Answer 1

probability = faverable outcome / total outcome

= (4p2+5p2) / 9p2

Answer 2

Answer:

The probability of getting same color is $\frac{4}{9}$.

Step-by-step explanation:

A box contains 5 red pens and 4 blue pens. Total number of pens is

$5+4=9$

Two pens are drawn at random.

Possible ways of getting same color = Getting 2 red pens + Getting 2 blue pens.

$\text{Possible ways of getting same color}=^5C_2+^4C_2$

$\text{Possible ways of getting same color}=10+6=16$

Total possible ways of selecting 2 pens.

$\text{Total possible ways of selecting 2 pens}=^9C_2=36$

The probability of getting same color is

$P=\frac{\text{Required outcomes}}{\text{Total outcomes}}$

$P=\frac{16}{36}$

$P=\frac{4}{9}=0.44$

Therefore the probability of getting same color is $\frac{4}{9}$.