Question

Hoping to increase the chances of reaching a performance goal, the director of a research project has assigned three separate research teams the same task. the director estimates that the team probabilities are .9, .8, and .7 for successfully completing the task in the allotted time. assuming that the teams work independently, what is the probability that the task will not be completed in time?

Answer 1

Here, the probabilities for success for the three teams are 0.9, 0.8 and 0.7, so the probability of failure for the three teams will be 0.1, 0.2 and 0.3.

We need to find the probability that all the teams fail, which can be calculated as: 0.1 * 0.2 * 0.3 = 0.0060 or 0.60%.

I hope my solution solves your query.