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Probability (p-2) — Maths (commerce) STD 11 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 11 Commerce / ArtsMaths (commerce)Probability (p-2)1 Mark
Question
State the sample space and $\mathrm{n}(\mathrm{S})$ for the following random experiments.: A coin is tossed twice. If a second throw results in a tail, a die is thrown.
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Answer

When a coin is tossed twice, the outcomes are HH, HT, TH, TT.
A coin is tossed twice and if the second throw results in a tail, a die is thrown. Out of the above 4 possibilities, on second throw tail occurs in two cases only i.e., HT, TT.
$\therefore \mathrm{S}=\{\mathrm{HH}, \mathrm{TH}, \mathrm{HT} 1, \mathrm{HT} 2, \mathrm{HT} 3, \mathrm{HT} 4, \mathrm{HT} 5, \mathrm{HT} 6, \mathrm{TT} 1, \mathrm{TT} 2, \mathrm{TT} 3, \mathrm{TT} 4, \mathrm{TT} 5, \mathrm{TT} 6\}$
$\therefore \mathrm{n}(\mathrm{S})=14$

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