$2.$ We have a long competitive relationship with others in the industry. Based on this history, there is a $\mathrm{.}70$ probability of a positive net present value when competitors do not respond to our introduction of a new product. Based on this same history, if competitors do respond, there is a $\mathrm{.}30$ probability of a positive net present value. After studying history, and the financial capabilities of our competitors going forward, we determine that there is a $\mathrm{.}70$ probability that competitors will respond. The total probability of a positive net present value is $\_\_\_\_\_\_.$