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There are two groups of subjects, one of...

There are two groups of subjects, one of which consists of 5 science subjects and 3 Engineering subjects and the other consists of 3 science and 5 Engineering subjects. An unbiased die is cast. If number 3 or 5 turns up, a subject from 1 is selected otherwise a subject is selected from group 2. The probability that an Engineering subject is selected ultimately, is

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