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Welcome to the article A bag contains one red pen four black pens and three blue pens Two pens are randomly chosen from the bag and are not replaced. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced. To the nearest hundredth, what is the probability that a black pen is chosen first and then another black pen is chosen?

Answer :

Answer:

3/14

Step-by-step explanation:

total pens = one + four + three = 1 + 4 + 3 = 8

there are 4 black pens

probability a black pen is chosen randomly: 4/8 (number of outcomes/total outcomes) = 1/2

take the pen out

there are now 3 black pens and 8-1 = 7 total pens

probability a black pen is now chosen: 3/7

we want to find the probability that the black pen is chosen first AND second at random.

P(A and B) = P(A) * P(B)

multiply the 2 probabilities to get our solution

1/2 * 3/7 = 3/14

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Rewritten by : Brahmana

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Step-by-step explanation:

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