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

The probability of getting at most 3 heads is:

A) 0

B) 1

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

D) \[\frac{1}{8}\]

Correct Answer: B

Solution :

Let D be the event of getting atmost 3 heads.

\[\therefore \,\,D=\{HHH,HHT,HTH,HTT,THH,THT,TTT\}\]\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n(D)=8\]

\[\therefore \] Required probability\[=\frac{8}{8}=1\]

So, Option [b] is correct.