i) Draw a probability tree diagram to represent the above situation. ii) Calculate the probability of obtaining a non-faulty pen. iii) If a pen was found to be faulty, what is the probability that it is a green pen?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 5ECP: In Example 5, what is the probability that an institution selected at random is in the Pacific...
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QUESTION 6
a) A box contains many pens that are of three colours; green, blue, and red. The probability
that a pen is faulty depends on its colour. The probability of a faulty green pen is 0.1, while
the probability of faulty blue and red pen is 0.15 and 0.08, respectively. In the box, 35%
of the pens are green colour, 40% is blue colour and the rest is red colour.
i) Draw a probability tree diagram to represent the above situation.
ii) Calculate the probability of obtaining a non-faulty pen.
iii) If a pen was found to be faulty, what is the probability that it is a green pen?
Transcribed Image Text:QUESTION 6 a) A box contains many pens that are of three colours; green, blue, and red. The probability that a pen is faulty depends on its colour. The probability of a faulty green pen is 0.1, while the probability of faulty blue and red pen is 0.15 and 0.08, respectively. In the box, 35% of the pens are green colour, 40% is blue colour and the rest is red colour. i) Draw a probability tree diagram to represent the above situation. ii) Calculate the probability of obtaining a non-faulty pen. iii) If a pen was found to be faulty, what is the probability that it is a green pen?
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