Question

On tossing a fair coin for $5$ times, what is the probability that at least four of the five flips will be heads?

• A. $\frac{3}{16}$
• B. $\frac{3}{10}$
• C. $\frac{7}{10}$
• D. $\frac{13}{16}$

Answer 1

The correct option is A $\frac{3}{16}$

We have tossed coins for $5$ times.

Therefore the required probability using bernoulli's formula give us $\frac{1}{2^5}({}^5{C}_4+{}^5{C}_5)=\frac{5+1}{32}=\frac{6}{32}=\frac{3}{16}$