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Kindly give accurate and correct answers.Kindly give step by step working.Do not skip steps. Mention and be very clear about the formula and conversion.Then,explain to support and prove the working and answers.

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JUST ANSWER AND DO YOUR WORKING AND ANSWERS ALTHOUGH THE TYPED ANSWERS ARE GIVEN THERE. I DI NOT REALLY UNDERSTAND HOW TO ANSWER AND DO THE WORKING. PLEASE ANSWER AND DO YOUR WORKING TOGETHER WITH EXPLANATION SO THAT I CAN UNDERSTAND.

NUMBER THE ANSWERS AND WORKING CORRECTLY ACCORDING TO THE QUES.

Q1

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 o.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 AExample 2: Solution TREE DIAGRAM a) Construct a tree diagram based on information given in the question. Alternatives: Company A=Company A B= Company B C= Company C All possible outcomes: P= Profitable P'=UnprofitableC TREE DIAGRAM Example 2: 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 o.8,0.9,0.7 respectively. What is the probability that the companies will make profit? P(E) = P(AnE ) + P (BnE ) + P (CnE ) = 0.2 +0.405+0.21 = 0.815 65Example 2: 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. If the contract is found to be profitable, find the probability that the contract was given to company A P(AnE ) P(A/ E)= P(E) 0.2 P(A/ E)= 0.815 P(A/E)=0.245 6 6