A machine produces photo detectors in pairs. Tests show that the first photo detector is acceptable with probability 3/5. When the first photo detector is acceptable, the second photo detector is acceptable with probability 4/5. Otherwise, if the first photo detector is defective, the second photo detector is acceptable with probability 2/5.Use the tree diagram to answer the following questions:

a.

Explanation:

a. Find the probability that exactly one photo detector of a pair is acceptable:

Let photo is accepted and the probability is defected.

Therefore:

#The probability of exactly one photo detector of a pair is accepted is 7/25

b.Find the probability that both photo detectors in a pair are defective,P(D1D2):

Hence, from out tree diagram,the probability that both photo detectors in a pair are defective is 6/25

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