In a one stage binomial tree, using CRR assumptions, what is the risk neutral

probability, p $($rounding to three decimal places$),$ when:

$($i$)$ the risk$-$free rate is $1\%$

$($ii$)$ the time step for the tree is one month $($dt$=1/12)$

$($iii$)$ the stock has annualized volatility of $30\%$ per annum?