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A recent summary has shown 25 percent liked chips 45 percent liked peanuts and 10 percent like both What Percentage liked neither?
Wiki User
โ 14y ago
It is better to do this with a venn diagram and I suggest drawing one. A is liking chips B is liking peanuts A intersect B is liking both. A union B is liking either peanuts or chips or both We want the complement of A union B which is A complement intersect B complement by DeMorgans law. A complement is not liking chips B complement is not liking peanuts Now if we add 25+45 and then subtract 10 that will be the percent that like chips or peanuts but NOT both and this is 60 percent. This is P(A) union P(B)-P(A intersect B) The negation of this is those who do not like chips and do not like peanuts-(those who don't like both) Since the total is 100%, 100%-60% is 40% 40% do not like either. You could also reason that there must be 15 % who like only chips and 35 percent who like only peanuts since 15%+10%=25% and 15%+10%=45. So the number who like either chips or peanuts but NOT both is 15+35=60 Now the number who like neither is 100-60 or 40% 40% is A complement intersect B complement.
Wiki User
โ 14y ago
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