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14.Probability
easy
Two coins (a one rupee coin and a two rupee coin) are tossed once. Find a sample space.
A
$S =\{ HH ,\, HT , \,TH , \,TT \}$
B
$S =\{ HH ,\, HT , \,TH , \,TT \}$
C
$S =\{ HH ,\, HT , \,TH , \,TT \}$
D
$S =\{ HH ,\, HT , \,TH , \,TT \}$
Solution
Clearly the coins are distinguishable in the sense that we can speak of the first coin and the second coin. since either coin can turn up Head $(H)$ or Tail $(T)$, the possible outcomes may be
Heads on both coins $=( H , \,H )= HH$
Head on first coin and Tail on the other $=( H ,\,T )= HT$
Tail on first coin and Head on the other $=(T, \,H)=T H$
Tail on both coins $=(T,\, T)=T T$
Thus, the sample space is $S =\{ HH ,\, HT , \,TH , \,TT \}$
Standard 11
Mathematics
