Transcendent Technologies is deciding between developing complicated, thought$-$activated software, or simple, voice$-$activated software. The voice$-$activated software would cost $$50$ million to develop and has a $60\%$ chance of being successfully launched and generating revenue of $$100$ million. The thought$-$activated software would be a bonanza if successful, generating $$1$ billion in revenue. But it is so complicated, it is projected to cost would be $$400$ million. How likely would success have to be for Transcendent Technologies to opt for the thought$-$activated software?June's Specialty Shop sells designer original dresses. On $10\%$ of her dresses, June makes a profit of $$10,$ on $20\%$ of her dresses she makes a profit of $$20,$ on $30\%$ of her dresses she makes a profit of $$30,$ and on $40\%$ of her dresses she makes a profit of $$40.$ On a given day, the probability of June having no customers is $\mathrm{.}05$ of $1$ customer is $\mathrm{.}10$ of $2$ customers is $\mathrm{.}20,$ of $3$ customers is $\mathrm{.}35,$ of $4$ customers is $\mathrm{.}20,$ and of $5$ customers is $\mathrm{.}10.$