(Solved): Please explain how you got the answers and why solved the problem in that way.   Q3): A com ...

Please explain how you got the answers and why solved the problem in that way.

 

Q3): A company has submitted a bid for each of two separate government contracts: \( A \) and \( B \). The company feels it has a \( 30 \% \) chance of winning contract \( B \). If they do win contract B, then they feel they have an \( 80 \% \) chance of also winning contract \( A \). However, if they do not win contract \( B \) they feel that they have only a \( 40 \% \) chance of winning contract \( A \). (a) Is a tree or a table the most convenient way to represent the given information? Why? Construct the appropriate tree or table. (b) Calculate the probability of each of the following events. Show your working. Use your tree or table for each calculation. (i) The probability that the company will win neither of the contracts. (ii) The probability that the company will win at least one of the contracts. (iii) The probability that the company will fail to win contract B. given that it does win contract \( A \).