3/10 is correct, because suppose if there are 40 peoples were in community then on Thursday 1/5 of 40 ie. 8 peoples were go to drink on Thursday. 40 - 8 = 32 peoples are remaining of the faculty. Then 5/8 of remaining 32 ie. 20 peoples go for drink on Friday
So, total 8 on Thursday and 20 on Friday go for drink ie. 28 out of 40 goes for drink and remaining 40 - 28 = 12, not going for drink either day.
Then the fraction of the people of the faculty staff not going for drink on either day was 12 /40 ie. 3/10
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