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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?

A. 0.02
B. 0.19
C. 0.21
D. 0.25

Answer :

The probability of choosing a black pen first and then another black pen from the bag, without replacement, is approximately 0.19.

To calculate the probability, we consider the number of favorable outcomes and divide it by the total number of possible outcomes. In this case, there are four black pens in the bag, and once the first black pen is chosen, there are three black pens left out of the total of eight pens remaining.

Therefore, the probability of selecting a black pen first is 4/8, and the probability of selecting another black pen second is 3/7. Multiplying these probabilities together, we get (4/8) * (3/7) = 12/56, which simplifies to approximately 0.19.


To learn more about probability click here: brainly.com/question/32004014

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Rewritten by : Brahmana