Binomial experiments are ruled by a very clean formula: if you want k successes performing n experiments with probability of success p, the probability is
[tex]\displaystyle \binom{n}{k}p^k(1-p)^{n-k}[/tex]
If you plug your values, you'll get
[tex]\displaystyle \binom{6}{5}0.5^5(0.5)^{1}= \binom{6}{5}(0.5)^6=0.09375[/tex]