A group of 1000 people are surveyed and asked two questions; whether they own a computer and whether they use a computer at their workplace. The results are presented here: 538 people own a computer and use a computer at work 155 people own a computer but do not use a computer at work 118 people do not own a computer but use a computer at work 189 people do not own a computer and do not use a computer at work Dene the events A and B to be: - A: a randomly chosen person owns a computer - B: a randomly chosen person uses a computer at work A student who is studying this situation went about calculating the probability that a person owns a computer or uses one at their work. The student did this by counting up all of the people that own a computer, and then counting up all of the people that use a computer at their work. They then added these two numbers together and divided by 1000 tond PM or B). a) A Venn diagram showing events A and B is given: V4 Four regions in the diagram are marked \\.I'1r V2, V3, V4. In using the method that they didr select the region that is over-counted by the student: b) Calculate the correct probability that a random person owns a computer or uses a computer at their work. Give your answer as a decimal to 2 decimal places. P{owns a computer or uses a computer at work) = E