MATHEMATICS · Multi-part · GCSE · Mathematics · Probability · Probability
Problem
In a survey of households in a town, the following data were recorded:
• The probability that a household has both an internet connection (I) and cable television (C) is 0.40.
• The probability that a household has only cable television is 0.25.
• The probability that a household has neither service is 0.15.
(i) Find the probability that a household has at least one of the two services.
(ii) Determine the probability that a household has an internet connection (whether or not it also has cable television).
(iii) Calculate the probability that a household has an internet connection but not cable television.