Question 980421
Looks like you have an incomplete first problem and a complete second problem. 
Here's what to do for both but I'll only use data from the second.
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Hypothesis testing with a proportion.
Balanced die would mean {{{p[h]=0.5}}}.
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Null hypothesis : {{{p[h]=0.5}}}
Alternate hypothesis : {{{p[h]<>0.5}}}
Two tailed test, assume normality since {{{N>30}}}
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Find the standard deviation.
{{{sigma=sqrt((p(1-p))/N)}}}
{{{sigma=sqrt((0.63(0.37))/100)}}}
{{{sigma=0.04828}}}
Find the z score.
{{{z=(p[h]-p)/sigma}}}
{{{z=(0.5-0.63)/0.04828}}}
{{{z=-2.6926}}}
For 0.05 significance, the critical z score would be,
{{{z[c]=-1.96}}}
Since you are outside the "fail to reject" region, you reject the null hypothesis. 
It is not a fair die.