Answer: Option A.
Explanation:
The joint probability for two different things is equal to the product of the individual probabilities.
For contractor A we have:
Prob that the job is done in time = 0.95
Prob that the job is done within the budget = 0.97
Prob of both things at the same time P = 0.95*0.97 = 0.92
For company B we have:
Prob that the job is done in time = 0.98
Prob that the job is done within the budget = 0.93
Prob of both things at the same time P = 0.98*0.93 = 0.91
Then the best contractor is contractor A, (with a joint probability of p = 0.92) and the correct option is option A.