Question

If three coins are tossed simultaneously, find the probability of getting at least two heads.

Answer 1

If three coins are tossed simultaneously,

the possibilities for $2$ heads are $HHT,HTH,THH$

The possibilities for $3$ heads are $HHH$

Getting atleast $2$ heads means that getting $2$ or $3$ heads

Number of ways for getting atleast $2$ heads are $4$

Total numbers of possibillities are $2\times 2\times 2=8$

Probability of getting atleast two heads is $\frac{4}{8}=\frac{1}{2}$