Answer
See below
Work Step by Step
The probability of tossing a coin 30 times and getting 11 heads can be found by applying: $P(X=11)=_nC_k p^k (1-p)^{n-k}\\=_{30} C_{11} 0.5^{11}(1-0.5)^{30-11}\\=\frac{30!}{(30-11)!.11!}\times0.5 ^{30}\\=0.0508$