Find the price of $1-$year European call option for $1$ with the strike price of $1\mathrm{.}77$$$/$ if

today's spot rate is $1\mathrm{.}7$$$/,$ next year it can either go up to $1\mathrm{.}9$$$/($with $67\%$ probability$)$

or go down to $1\mathrm{.}6$$$/($with $33\%$ probability$).$ The interest rates in U$.$S$.$ and U$.$K$.$ are $4\%$ and $7\%$ respectively