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Two friends Jack and John appear in an interview for two vacancies in the same post. The probability of Jack's selection is (1/7) and the probability of John's selection is $$(1 / 5)$$. What is the probability that only one of them is selected?

i. $$2 / 7$$
ii. $$1 / 7$$
iii. $$3 / 4$$
iv. $$4 / 5$$
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## 1 Answer

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The probability that only one of them is selected is (1/7 + 1/5 - 1/35) = 11/35.
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