10th Class Mathematics Probability Question Bank Case Based (MCQs) - Probability

The probability of getting at least two heads is:

A) 0

B) 1

C) \[\frac{1}{2}\]

D) \[\frac{1}{4}\]

Correct Answer: C

Solution :

Let E be the event of getting at least two heads.

\[\therefore \,\,\,\,\,\,\,\,E=\{HHT,HTH,THH,HHH\}\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n(E)=4\]

\[\therefore \] Required probability \[=\frac{n(E)}{n(S)}=\frac{4}{8}=\frac{1}{2}\]

So, Option [c] is correct.