At the close of the stock markets on a day in$2013,$ there were $5905$ companies listed with a certain stock exchange. On this$$ day, the probabilities of$$ advancing, declining, and unchanged company stocks appears in the table for the two exchanges. Find the probability an unchanged stock was listed on Exchange $1.$

Exchange

Percentage of Companies Listed

Probability of Stock Advancing

Probability of Stock Declining

Probability the Stocks Remain Unchanged

Exchange $1$

$55\mathrm{.}5\%$

$0\mathrm{.}678$

$0\mathrm{.}267$

$0\mathrm{.}055$

Exchange $2$

$44\mathrm{.}5\%$

$0\mathrm{.}659$

$0\mathrm{.}297$

$0\mathrm{.}044$

Question content area bottom

Part $1$

The probability that an unchanged stock was listed on Exchange $1$ is

$$

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$($Round to three decimal places as$$ needed.$)$