Question

A bag contains x red balls, (x + 2) green balls, 2x yellow balls and 3x pink balls of same size. Amit
picks a ball from the bag at random. If the probability that the picked ball is of pink colour is 0.4,
then the number of green balls in the bag is​

Answer 1

Step-by-step explanation:

Total no. of balls= 7x+2

Probability of getting pink ball= 0.4

So, 3x/7x+2= 0.4

3x= 2.8x+ 0.8

So, 0.2x= 0.8

So, x= 4.

Hence, no. of green balls= x+2 or 4+2=6

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Answer 2

Answer: $\frac{1}{5}$

Step-by-step explanation:

• Given, No. of red balls are x.
• No. of green balls are (x+2).
• No. of yellow balls are 2x.
• No. of pink balls are 3x.
• We know probability = $\frac{number\ of \ favourable\ outcome}{total\ number \ of \ possible\ outcomes}$
• P(pink ball)=$\frac{3x}{x+(x+2)+2x+3x}$

    ⇒ 0.4=$\frac{3x}{7x+2}$

    ⇒ 2.8x + 0.8=3x

    ⇒ 0.2x=0.8

    ∴ x= 4

• So, probability of green ball = $\frac{6}{30}$

                                                         = $\frac{1}{5}$

• Hence, the required probability  $\frac{1}{5}$.

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