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14.Probability
easy
An experiment consists of rolling a die and then tossing a coin if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.
Option A
Option B
Option C
Option D
Solution
A die has six faces that are numbered from $1$ to $6,$ with one each face. Among these number, $2,\,4,$ and $6$ are even numbers, while $1,\,3,$ and $5$ are odd numbers.
A coin has two faces: head $(H)$ and tail $(T)$.
Hence, the sample space of this experiment is given by:
$S =\{2 H ,\, 2 T ,\, 4 H$ , $4 T\, , 6 H ,\, 6 T$ , $1 HH ,\, 1 HT\, , 1 TH$ , $1 TT ,\, 3 HH ,\, 3 HT$ , $3 TH ,\, 3 TT ,\, 5 HH$ , $5 HT,\,5 TH , 5 TT \}$
Standard 11
Mathematics
