Risk manager Camila De Leon of Johnson Chemicals is considering two options for the firm's supplier portfolio. Option $1$ uses two local suppliers. Each has a "unique$-$event" risk of $5\mathrm{.}8\%,$ and the probability of a "super$-$event" that would disable both at the same time is estimated to be $1\mathrm{.}6\%.$ Option $2$ uses two suppliers located in different countries. Each has a "unique$-$event" risk of $14\%,$ and the probability of a "super$-$event" that would disable both at the same time is estimated to be $0\mathrm{.}27\%.$

a$)$ The probability that both suppliers will be disrupted using option $1$ is $($round your response to five decimal places$).$