Q:

A recent survey found that 85 % of households had Internet access and 81 % of households had cable television.​ Also, it was reported that 72 % of the households in the survey had both Internet and cable television. Determine the probability of selecting a household that had either Internet access or cable television.

Accepted Solution

A:
Answer:  Probability that either had Internet access or had cable television is 94%.Step-by-step explanation:Since we have given that Probability of households had internet access P(I) = 85% = 0.85Probability of households had cable television P(C) = 81% = 0.81Probability of households had both Internet and cable television P(I ∩ C) = 72% = 0.72We need to find the probability that either had Internet access or had cable television.As we know the formula:P(I ∪ C)=P(I) + P(C) - P(I ∩ C)[tex]P(I\cup C)=0.85+0.81-0.72\\\\P(I\cup C)=0.94=94\%[/tex]Hence, our required probability is 94%.