Assume that if $M$ launches a new e$-$trading platform, its price will go up to $$279.$ Else, $M$ price will go down to $$60.$ You are aware that $M$ shares are being traded at $$188.$ You also know that the risk$-$free rate is $5\%.$

What is the probability that M price will go up$?$

$***$ Please round your answer to the nearest three decimals $($i$.$e$.0\mathrm{.}512)$