Study Case : Q. 31 to 35 |
Three persons toss 3 coins simultaneously and note the outcomes. Then, they ask few questions to one another. |
Help them in finding the answer of the following questions: |
A) 0
B) 1
C) \[\frac{1}{2}\]
D) \[\frac{1}{4}\]
Correct Answer: C
Solution :
Sample space |
\[(S)=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n(S)=8\] |
Let A be the event of getting at most one tail. |
\[\therefore \,\,\,\,\,\,\,\,A=\{HHH,HHT,HTH,THH\}\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n(A)=4\] |
\[\therefore \] Required probability \[=\frac{4}{8}=\frac{1}{2}\] |
So, Option [c] is correct. |
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