If a diseased orange is found from the combined supply, there is a **2/3** chance that the orange is from A.

This is based on the following:

**1.** For C:

P(C) = 0.5 and P(D/C) = 0.1

Therefore, if an orange is picked at random from the supply, the chance that it is diseased and from "C" is:

0.5 * 0.1 = 0.05

**2.** Now for A:

P(A) = 0.4 and P(D/A) = 0.25

Again, if an orange is picked at random, the chance that it is diseased and from "A" is:

0.4 * 0.25 = 0.10

**3.** The chance of a diseased orange being selected is:

P(D) = 0.05 + 0.10 = 0.15

**4.** Therefore, if a diseased orange is found, the probability that it is from A is

P (A/D) = 0.10 / 0.15 = **2/3. Answer**

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