## Related questions with answers

Question

A survey of households in the United States reveals that 96% have at least one television set, 98% have telephone service, and 95% have telephone service and at least one television set. What percentage of households in the United States have neither telephone service nor a television set?

Solution

VerifiedStep 1

1 of 3DEFINITIONS

$\textbf{Principle of inclusion-exclusion}$

$|A_1\cup A_2|=|A_1|+|A_2|-|A_1\cap A_2|$

$\textbf{Complement rule}$:

$P(A^c)=P(\text{ not }A)=1-P(A)$

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