Melissa wanted to buy Apple Inc. stock, which had a price range of $$409$ to $$582$ a month later. The current share price is $$488.$ Her broker advises her that the price of this share could rise to $$522$ within the next month or so$,$ so she should purchase a one$-$month Call of Apple. To be prudent in purchasing the call, the share price should be greater than or equal to $$522,$ which her broker could not guarantee. Though she understands the market's uncertainty, she wants to know the probability of reaching the share price of $$582$ so that she can justify purchasing a one$-$ month Call of Apple at the execution price of $$522.$ Take the continuous compounded risk$-$free interest to be $3\mathrm{.}60\%$ p$.$a$.$

$0\mathrm{.}5349$

$0\mathrm{.}4651$

$0\mathrm{.}6211$

$0\mathrm{.}3789$