In a high school club, 42 members own a bike and 36 members own in-line skates. Of the club members who own a?

bike or in-line skates, 24 own both a bike and in-line skates. If there are 56 members in the club, how many members own neither?


A. 0


B. 2


C. 4


D. 5


E. 6

In a high school club, 42 members own a bike and 36 members own in-line skates. Of the club members who own a?
Given:


P(b) = 42/56


P(s) = 36/56


P(b∩s) = 24/56





Find:


P(~bU~s)





P(bUs) = P(b) + P(s) - P(b∩s)


P(bUs) = 42/56 + 36/56 - 24/56 = 54/56





P(~bU~s) = 1 - P(bUs) = 1 - 54/56 = 2/56





The number of members who own neither is 2.





The answer is B. 2.



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