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14.Probability
easy
Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space.
A
$S =\{ H , \,TH , \,TTH , \,TTTH ,\, TTTTH,$ ........ $\}$
B
$S =\{ H , \,TH , \,TTH , \,TTTH ,\, TTTTH,$ ........ $\}$
C
$S =\{ H , \,TH , \,TTH , \,TTTH ,\, TTTTH,$ ........ $\}$
D
$S =\{ H , \,TH , \,TTH , \,TTTH ,\, TTTTH,$ ........ $\}$
Solution
In the experiment head may come up on the first toss, or the $2^{ nd}$ toss, or the $3^{rd}$ toss and so on till head is obtained. Hence, the desired sample space is
$S =\{ H , \,TH , \,TTH , \,TTTH ,\, TTTTH,$ …….. $\}$
Standard 11
Mathematics