A company is bidding on two projects, A and B. The probability that the company wins project A is 0.70 and the probability that the company wins project B is 0.38. Winning project A and winning project B are independent events. What is the probability that the company does not win either project?

0.186

Explanation:

For computing the probability of not win either project first we have to calculate the probability of wining of project A or project B which is shown below:

P (A or B) = P (A) + P (B) - P (A & B)

= 0.70 + 0.38 - 0.70 * 0.38

= 1.08 - 0.266

= 0.814

P (neither) = 1 - P (A or B)

= 1 - 0.814

= 0.186

We simply applied the above formula so that the probability of the company that it does not win either project comes