Question 327963
5 heads:{{{1*(0.7)^5*(0.3)^0=0.16807}}}
4 heads:{{{5*(0.7)^4*(0.3)^1=0.36015}}}
3 heads:{{{10*(0.7)^3*(0.3)^2=0.3087}}}
2 heads:{{{10*(0.7)^2*(0.3)^3=0.1323}}}
1 heads:{{{5*(0.7)^1*(0.3)^4=0.02835}}}
0 heads:{{{1*(0.7)^0*(0.3)^5=0.000243}}}
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a){{{P=P(2)+P(3)+P(4)+P(5)=0.9692}}}
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b){{{P=P(4)+P(5)=0.5282}}}
It's not as good as before but still better than a fair coin which should be {{{P=0.5}}}.