Answer:
1) 0.338
2) 0.4065
3) 0.2555
Step-by-step explanation:
1. The probability that they will lose both contracts is the probability of losing contract 1 and 2 altogether:
The probability of losing contract 1 is: 1 - 0.35 = 0.65
The probability of losing contract 2, given that they lose contract 1 is: 1 - 0.48 = 0.52
The probability of losing both contracts is 0.65*0.52 = 0.338
2. The probability that they win only one contract is the probability they they win contract 1, lose contract 2, plus the probability that they lose contract 2, win contract 1:
0.35*(1-0.73) + (1-0.35)*0.48 = 0.0945 + 0.312 = 0.4065
3. The probability that they win both contract is
0.35 * 0.73 = 0.2555