Mathematics, 14.02.2020 19:53 nadiamckinney
A boy has color blindness and has trouble distinguishing blue and green. There are 75 blue pens and 25 green pens mixed together in a box. Given that he picks up a blue pen, there is a 80% chance that he thinks it is a blue pen and a 20% chance that he thinks it is a green pen. Given that he picks a green pen, there is an 90% chance that he thinks it is a green pen and a 10% chance that he thinks it is a blue pen. Assume that the boy randomly selects one of the pens from the box.
a) (3pts) What is the probability that he picks up a blue pen and recognizes it as blue?
b) (3 pts) What is the probability that he chooses a pen and thinks it is blue?
c) (4pts) Given that he thinks he chose a blue pen, what is the probability that he actually chose a blue pen?
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