Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# A Coin is Tossed Twice. If the Second Draw Results in a Head, a Die is Rolled. Write the Sample Space for this Experiment. - Mathematics

A coin is tossed twice. If the second draw results in a head, a die is rolled. Write the sample space for this experiment.

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#### Solution

When a coin is tossed, the possible outcomes are head (H) and tail (T).
If a coin is tossed twice, the possible outcomes are given by
S = {HH, HT, TH, TT}
Again, if the second draw results in a head, then a dice is rolled. The events associated with this experiment is given by
A = {(HH, 1), (HH, 2), (HH, 3), (HH, 4), (HH, 5), (HH, 6), (TH, 1), (TH, 2), (TH, 3), (TH, 4), (TH, 5), (TH, 6)}
Hence, the sample space for this experiment is given by
(S ∪ A) = {(HH, 1), (HH, 2), (HH, 3), (HH, 4), (HH, 5), (HH, 6),

(TH, 1),
(TH, 2), (TH, 3), (TH, 4), (TH, 5), (TH, 6), (HT), (TT)}

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.1 | Q 15 | Page 7
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