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 $4\mathrm{.}5\%,$ and the probability of a "super$-$event" that would disable both at the same time is estimated to be $1\mathrm{.}3\%.$ Option $2$ uses two suppliers located in different countries. Each has a "unique$-$event" risk of $12\%,$ and the probability of a "super$-$event" that would disable both at the same time is estimated to be $0\mathrm{.}24\%.$

a$)$ The probability that both suppliers will be disrupted using option $1$ is

$($round your response to five decimal places$).$