1. If n ( A ) = 11 , n ( A B ) = 12 , and n ( B ) = 6, then what is n ( A ? B )?

Question

1. If n(A) = 11, n(A B) = 12, and n(B) = 6,then what is    n(A ? B)? 2.In a survey of 450 households regarding ownership of HDTVs and DVD players, the following data were obtained. 340 households own one or more HDTVs.
175 households own one or more HDTVs and one or more DVD players.
19 households do not own an HDTV or a DVD player. How many households only own one or more DVD players?
1 households

   n(A ? B)? 2.In a survey of 450 households regarding ownership of HDTVs and DVD players, the following data were obtained. 340 households own one or more HDTVs.
175 households own one or more HDTVs and one or more DVD players.
19 households do not own an HDTV or a DVD player. How many households only own one or more DVD players?
1 households 340 households own one or more HDTVs.
175 households own one or more HDTVs and one or more DVD players.
19 households do not own an HDTV or a DVD player.

Explanation / Answer

1) n(A ? B) = n(A)+(B) - n(A B) = 5

2) A: households own one or more HDTVs. HDTVs

B: households own one or more HDTVs DVD players

n(

n(A) = 340

n(A U B) 450 - 19 = 431

n(A ? B) = 175

n(A ? B) = n(A)+(B) - n(A B)

n(B) = 266

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