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Q1 TREE DIAGRAM

Three companies A, B and C are competing for a contract to build a condominium. The probabilities that Company A,B and C will win the contract are 0.25,0.45,0.30 respectively. If company A . B and C win the contract, the probability that they will make profits are 0.8,0.9,0.7 respectively. a) Construct a tree diagram based on information given in the question. b) What is the probability that the companies will make profit? c) If the contract is found to be profitable, find the probability that the contract was given to company AAn ice-cream seller has to decide whether to order more stock for the Bank Holiday weekend. He estimates that, if the weather is sunny, he has a 90% chance of selling all his stock; if it is cloudy, his chance is 60%; and if it rains, his chance is only 20%. According to the weather forecast, the probability of sunshine is 30%, the probability of cloud is 45%, and the probability of rain is 25%.The completion of a construction job at Town Z may be delayed because of a strike. The probability that there will be a strike in that construction area is 0.25. The probability that the construction job will not be completed on time if there is a strike is 0.6 and the probability that the construction job will be completed on time if there is no strike is 0.82. a) Draw a tree diagram to describe for the above situation. (3 marks) b) Find the probability that the construction job will not be completed on time. (2 marks)