Question

In a bag, there are 8 black balls and 12 yellow and green balls. if the probability of choosing a green ball from the bag is 0.35 then, find the probability of choosing two yellow balls from the bag if the ball chosen is not replaced.

Answer 1

Answer:

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Answer 2

Answer:

Probability of choosing 2 yellow balls without replacememnt is $\frac{1}{19}$

Explanation:

What is Probability ?

Probability is simply how probable something is to happen. Whenever we're confused about the conclusion of an event, we may talk about the probabilities of certain outcomes—how likely they are. Statistics is the study of events that follow a probability distribution.

Number of Green balls x (say)

Therefore Number of Yellow balls = 12-x

Probability of choosing green balls = $\frac{Number \ of \ favourable \ outcomes}{Total \ Number \ of \ outcomes}$ = $\frac{x}{12 +8} = \frac{x}{20}$

⇒ $\frac{x}{20} = .35$      ⇒ x = 7

Number of Green balls = 7

Number of Yellow Balls = 12-7 = 5

Probability of choosing 2 yellow balls from the bag without replacement is :

(Probability of choosing Yellow ball in 1st draw)*(Probability of choosing Yellow ball in 2nd draw without replacing)

= $\frac{5}{20}*\frac{(5-1)}{(20-1)} = \frac{5}{20}*\frac{4}{19} = \frac{1}{19}$

To learn more about Probability refer to :

https://brainly.in/question/15296853?referrer=searchResults

https://brainly.in/question/42222466?referrer=searchResults

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