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Answer :
Final answer:
The probability of selecting a pen with ink can be calculated using conditional probability.
Explanation:
To find the probability of selecting a pen with ink, given that there are 12 pens with ink and 8 pens without ink, we need to use the formula for conditional probability.
The formula for conditional probability is:
P(A|B) = P(A and B) / P(B)
In this case, A represents selecting a pen with ink, and B represents selecting any pen from the box. So, the probability of selecting a pen with ink, given that there are 12 pens with ink and 8 pens without ink, can be calculated as:
P(ink|selecting a pen) = P(ink and selecting a pen) / P(selecting a pen)
Since the probability of selecting any pen from the box is 1 (or 100%), the denominator P(selecting a pen) is 1. Therefore, the probability of selecting a pen with ink is:
P(ink|selecting a pen) = P(ink and selecting a pen) / 1 = P(ink and selecting a pen)
Given that there are 12 pens with ink, the probability of selecting a pen with ink is 12/20 = 0.6 or 60%.
Learn more about Conditional probability here:
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Rewritten by : Brahmana